Questions: -79=7w+3(4w-1)

Transcript text: $-79=7w+3(4w-1)$

Solution

Step 1: Distribute and Simplify

Start with the original equation: \[ -79 = 7w + 3(4w - 1) \] Distributing the $3$ across the terms in the parentheses gives: \[ -79 = 7w + 12w - 3 \]

Step 2: Combine Like Terms

Combine the $w$ terms on the right side: \[ -79 = 19w - 3 \]

Step 3: Isolate the Variable

Add $3$ to both sides to isolate the term with $w$: \[ -79 + 3 = 19w \] This simplifies to: \[ -76 = 19w \]

Step 4: Solve for $w$

Divide both sides by $19$: \[ w = \frac{-76}{19} \] This simplifies to: \[ w = -4 \]

$\boxed{w = -4}$

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