Solve for w.

Question

3(w + 1) + 1 = 10

Answer 1

To solve the equation \( 3(w + 1) + 1 = 10 \), follow these steps:

1. Distribute the 3 in the left-hand side: \[ 3(w + 1) = 3w + 3 \] So the equation becomes: \[ 3w + 3 + 1 = 10 \]

2. Combine like terms on the left-hand side: \[ 3w + 4 = 10 \]

3. Subtract 4 from both sides to isolate the term with \( w \): \[ 3w = 10 - 4 \] \[ 3w = 6 \]

4. Divide both sides by 3 to solve for \( w \): \[ w = \frac{6}{3} \] \[ w = 2 \]

Therefore, the solution is: \[ \boxed{2} \]