Solve for w.

Question

3 (2w+ 8)=60
Simplify your answer as much as possible

w = ?

Answer 1

To solve for \( w \) in the equation \( 3(2w + 8) = 60 \), follow these steps:

1. Distribute the \( 3 \) on the left side: \[ 3 \cdot 2w + 3 \cdot 8 = 60 \] Which simplifies to: \[ 6w + 24 = 60 \]

2. Next, subtract \( 24 \) from both sides to isolate the term with \( w \): \[ 6w + 24 - 24 = 60 - 24 \] Thus, you get: \[ 6w = 36 \]

3. Finally, divide both sides by \( 6 \) to solve for \( w \): \[ w = \frac{36}{6} \] Simplifying gives: \[ w = 6 \]

So the solution is: \[ \boxed{6} \]