Question

solve for q.
8q - 8 = -4(-5q - 10)
q =

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), we have \(-4(-5q - 10)=(-4)\times(-5q)+(-4)\times(-10)=20q + 40\). So the equation becomes \(8q-8 = 20q+40\).

Step2: Move variable terms to one side

Subtract \(8q\) from both sides: \(8q - 8-8q=20q + 40-8q\), which simplifies to \(-8 = 12q+40\).

Step3: Solve for constant term

Subtract \(40\) from both sides: \(-8-40=12q + 40-40\), so \(-48 = 12q\).

Step4: Solve for q

Divide both sides by \(12\): \(\frac{-48}{12}=\frac{12q}{12}\), which gives \(q=-4\).

Answer:

\(-4\)