Question

solve for q.
-10 + 10q - 10 = 10 + 4q
q = \boxed{}

Explanation:

Step1: Combine like terms on left

Simplify \(-10 - 10\) to get \(-20\). So equation becomes \(10q - 20 = 4q + 10\).

Step2: Subtract \(4q\) from both sides

\(10q - 4q - 20 = 4q - 4q + 10\) → \(6q - 20 = 10\).

Step3: Add 20 to both sides

\(6q - 20 + 20 = 10 + 20\) → \(6q = 30\).

Step4: Divide by 6

\(\frac{6q}{6} = \frac{30}{6}\) → \(q = 5\).

Answer:

\(5\)