Question

solve for q.
13q - 9q + 5 = 17
q = \boxed{}

Explanation:

Step1: Combine like terms

First, combine the \(13q\) and \(-9q\) terms. \(13q - 9q = 4q\), so the equation becomes \(4q + 5 = 17\).

Step2: Subtract 5 from both sides

Subtract 5 from each side of the equation to isolate the term with \(q\). \(4q + 5 - 5 = 17 - 5\), which simplifies to \(4q = 12\).

Step3: Divide by 4

Divide both sides of the equation by 4 to solve for \(q\). \(\frac{4q}{4} = \frac{12}{4}\), so \(q = 3\).

Answer:

\(3\)