Question

solve for w.
3(2w + 8) = 60
simplify your answer as much as possible.
w = □

Explanation:

Step1: Divide both sides by 3

To isolate the term with \( w \), we divide both sides of the equation \( 3(2w + 8)=60 \) by 3. This gives us \( \frac{3(2w + 8)}{3}=\frac{60}{3} \), which simplifies to \( 2w + 8 = 20 \).

Step2: Subtract 8 from both sides

Next, we subtract 8 from both sides to get rid of the constant term on the left side. So, \( 2w + 8 - 8 = 20 - 8 \), which simplifies to \( 2w = 12 \).

Step3: Divide both sides by 2

Finally, we divide both sides by 2 to solve for \( w \). That is, \( \frac{2w}{2}=\frac{12}{2} \), which gives \( w = 6 \).

Answer:

\( w = 6 \)