Now subtract: (5a + b) − (3a + b) = 0.7 − 0.6 → 2a = 0.1 → a = 0.05

Solving (5a + b) − (3a + b) = 0.7 − 0.6: Step-by-Step Explanation Behind 2a = 0.1 → a = 0.05

Understanding basic algebra can transform how you solve equations—especially when simplifying expressions with variables. One clear example is solving the equation:
(5a + b) − (3a + b) = 0.7 − 0.6
But why equal 0.1 and how does this lead to a = 0.05? Let’s break it down step-by-step.

Understanding the Context

Step 1: Simplify the Left Side of the Equation

Start by simplifying the left-hand side:
(5a + b) − (3a + b)
Distribute the negative sign:
= 5a + b − 3a − b
Now combine like terms:
(5a − 3a) + (b − b) = 2a + 0 = 2a

So:
(5a + b) − (3a + b) = 2a

Step 2: Simplify the Right Side

Evaluate the right-hand side:
0.7 − 0.6 = 0.1

(c) Subtract: 3l(l−4m+5n) from 4l(10n−3m+2l)(d) Subtract: 3a(a+b+c)−2b(a..

Image Gallery

(b) Column Method: 5 a - 9 b + 7 8 a - 6 b + 6 Example 6: Subtract ( 2 x..

Solved 3. Subtract 2a−c4a−b from 6a+c3a+b. A. c7ac−2b B. | Chegg.com

Now, let's subtract equation (II) from (I)15x+17y=21−17x±15y=_11−2x+2y=1..

(2) Subtract (2a^3 - 3a^2 + a + 1) from (2a^3 - 3a^2 + a) | Filo

Key Insights

Now the equation becomes:
2a = 0.1

Step 3: Isolate Variable a

To solve for a, divide both sides by 2:
2a ÷ 2 = 0.1 ÷ 2
→ a = 0.05

Why Does This Work?

The key simplifications come from removing the parentheses and canceling the +b terms. Subtracting identical terms (like b − b) eliminates them, simplifying expressions and clearly revealing the variable relationship. The arithmetic shows how consistent terms on both sides allow clean algebraic manipulation.

🔗 Related Articles You Might Like:

📰 This One Pair of Navy Blue Shoes Is Taking the Internet by Storm 📰 Discover the Most Desirable Navy Blue Shoes Everyone’s Running For 📰 Navy Blue Shoes That Are Hidden Behind the Most Expensive Looks 📰 See What Fidelity Netbenefits Sign In Could Do For Your Financial Future Click Now 9222599 📰 Why Every Spring Closet Needs The Game Changing Spring Heeled Jack Shiny Stylish Irresistible 3632800 📰 Best Headset For Zoom Meetings 2120397 📰 Watch These Easy Crazy Easy Recipes With Chicken Legstheyre Irresistible 9378557 📰 Trapinch Evolution 9422905 📰 The Kings Cup Is Going Violentheres What Guards Couldnt Reveal 4551349 📰 Russian Tortoise Secrets You Didnt Know Could Change Your Care Forever 393152 📰 Watch How This Wall Cloud Transforms Space Into A Genius Storage Command Center 9186352 📰 San Carlos Ca 8649459 📰 Name Tag 7035530 📰 Why Granite Rock Is The Ultimate Choice For Countertops Landscaping You Need To See 2338759 📰 American Express Platinum Military 6947130 📰 Is The Psn Network Down Heres What Happened Dont Miss This Critical Update 4076162 📰 Kicked The Documentary My Unbreakable Kick Buddy Duos Most Unforgettable Moment 3624674 📰 This Smoked Chuck Roast Secrets Are Changing How Chefs Cook Forever 5167586

Final Thoughts

Real-World Application

Solving equations like this helps in many everyday and technical contexts—from budgeting and physics to programming and finance. Mastering this step-by-step method strengthens your problem-solving foundation.

Summary

Given:
(5a + b) − (3a + b) = 0.7 − 0.6
→ 2a = 0.1
→ a = 0.05

This simple subtraction and cancellation process demonstrates how algebra decodes linear relationships—making it easier to find unknowns like a safely and confidently.

If you’re learning algebra or want to sharpen your skills, practice combining like terms and simplifying both sides carefully. With these techniques, equations like this become quick and straightforward!