Question

Rearrange the equation so
\[q\] is the independent variable.
\[9q-4=3r-6\]

Answer 1

To rearrange the equation \(9q - 4 = 3r - 6\) so that \(q\) is the independent variable, we need to isolate \(q\) on one side of the equation. Here are the steps to do that:

1. Start with the original equation:
\[
9q - 4 = 3r - 6
\]

2. Add 4 to both sides to eliminate the -4:
\[
9q = 3r - 6 + 4
\]
Simplifying the right side, we get:
\[
9q = 3r - 2
\]

3. Now, divide both sides by 9 to solve for \(q\):
\[
q = \frac{3r - 2}{9}
\]

Thus, the equation rearranged with \(q\) as the independent variable is:
\[
q = \frac{3r - 2}{9}
\]