Question

solve for q.\\
7q + 17q - 14q - 8q = 14\\
q = \boxed{}

Explanation:

Step1: Combine like terms on the left side.

The left side of the equation is \(7q + 17q - 14q - 8q\). First, add \(7q\) and \(17q\): \(7q + 17q = 24q\). Then subtract \(14q\) from \(24q\): \(24q - 14q = 10q\). Then subtract \(8q\) from \(10q\): \(10q - 8q = 2q\). So the equation becomes \(2q = 14\).

Step2: Solve for \(q\) by dividing both sides by 2.

To isolate \(q\), divide both sides of the equation \(2q = 14\) by 2: \(\frac{2q}{2}=\frac{14}{2}\). This simplifies to \(q = 7\).

Answer:

\(q = 7\)