$ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $

Simplifying the Equation: $ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $

Understanding algebraic expressions can sometimes feel complex, but breaking down equations step-by-step makes them far more manageable. Today, we’ll explore the equation $ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $ and simplify it intelligently.

Understanding the Context

Step 1: Rewrite the subtraction as distribution

The left-hand side involves subtraction of two binomials. Distribute the negative sign across the second group:

$$
(37a + 7b + c) - 19a - 5b - c
$$

Now combine like terms:

Key Insights

For $ a $: $ 37a - 19a = 18a $
For $ b $: $ 7b - 5b = 2b $
For $ c $: $ c - c = 0 $

So the simplified left side becomes:
$$
18a + 2b
$$

Step 2: Simplify the right-hand side

The right-hand side is a constant expression:

🔗 Related Articles You Might Like:

📰 svr series 📰 sw accessible beige 📰 sw bf 📰 The Big Reveal When Does The Ps6 Actually Drop Find Out Fast 📰 The Big Reveal When Fortnites New Season Is Officially Dropping 📰 The Big Reveal When Xbox One Hit The Market Back In 2013 You Wont Guess When 📰 The Big Wait Is Over Heres Why Playstation Networks Broken Upgrade Is Still A Mystery 📰 The Biggest Thing A Girl Wants You Probably Havent Frustrated Yet 📰 The Bitter Rivalry Revealed Go Beyond The Hype In Lex Luthors Superman Feud 📰 The Black Parade Lyrics Shock Us Allheres What Theyre Really Saying 📰 The Blue Fashion Code Of Queen Elizabeth I Why She Refused To Wear Anything Else 📰 The Bold And Surprising Color That Looks Stunning With Greenclick To See 📰 The Bold Comeback Of The Wolverine Actor Hollywoods Astonished Behind The Scenes 📰 The Bold Science Behind Blue Only Two Colors Can Truly Make It Shocking Result 📰 The Boys Final Showdown Is Coming When Does Season 5 Drop Spoiler Alert Inside 📰 The Boys Season 5 Revealedare You Ready For The Return Before You Miss It 📰 The Breakdown Of We Dont Talk Anymore Lyrics That Proves This Song Is More Than Just Silence 📰 The Breaking Reveal Why Anna Faris Quit Mom And Never Looked Back

Final Thoughts

$$
-12 - 6 = -18
$$

So now the equation looks like:
$$
18a + 2b = -18
$$

Step 3: Simplify further

We can factor the left-hand side by pulling out the common factor 2:

$$
2(9a + b) = -18
$$

Divide both sides by 2:
$$
9a + b = -9
$$

What does the simplified equation mean?

We’ve transformed:
$$
(37a + 7b + c) - (19a + 5b + c) = -12 - 6
$$
into:
$$
9a + b = -9
$$