Solve the equation. What is the value of q?

Question

Solve for q. You can choose to show your work below or solve on paper, then enter your answer on Zearn.
3
2
​
q+7
=
q+15

q
=

Answer 1

To solve the equation \( \frac{3}{2} q + 7 = q + 15 \), follow these steps:

1. Isolate the terms with \( q \): Start by subtracting \( q \) from both sides: \[ \frac{3}{2} q - q + 7 = 15 \]

   We can rewrite \( q \) as \( \frac{2}{2} q \): \[ \frac{3}{2} q - \frac{2}{2} q + 7 = 15 \]

   Now combine the \( q \) terms: \[ \frac{1}{2} q + 7 = 15 \]

2. Isolate \( q \): Subtract 7 from both sides: \[ \frac{1}{2} q = 15 - 7 \] \[ \frac{1}{2} q = 8 \]

3. Solve for \( q \): Multiply both sides by 2: \[ q = 8 \times 2 \] \[ q = 16 \]

So, the value of \( q \) is \( \boxed{16} \).