Solve for q. You can choose to show your work below or solve on paper, then enter your answer on Zearn.

Question

3
2
​
q+7
=
q+15

q
=

Answer 1

To solve the equation:

\[ \frac{3}{2}q + 7 = q + 15 \]

we can follow these steps:

1. Isolate the terms involving \(q\): First, we'll subtract \(q\) from both sides:

   \[ \frac{3}{2}q - q + 7 = 15 \]

   We can rewrite \(q\) as \(\frac{2}{2}q\):

   \[ \frac{3}{2}q - \frac{2}{2}q + 7 = 15 \]

   This simplifies to:

   \[ \frac{1}{2}q + 7 = 15 \]

2. Move the constant to the other side:

   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 to isolate \(q\):

   \[ q = 8 \cdot 2 \]

   \[ q = 16 \]

Thus, the solution is:

\[ \boxed{16} \]