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:

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

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:

\[
\boxed{16}
\]