Question

solve for g.
-7g = 3g + 8(-g + 2)
g =

Explanation:

Step1: Expand the right side

First, we expand \(8(-g + 2)\) using the distributive property \(a(b + c)=ab+ac\). So, \(8(-g + 2)=8\times(-g)+8\times2=-8g + 16\). The equation becomes \(-7g=3g-8g + 16\).

Step2: Simplify the right side

Combine like terms on the right side. \(3g-8g=-5g\), so the equation is \(-7g=-5g + 16\).

Step3: Add \(7g\) to both sides

Adding \(7g\) to both sides gives \(0 = 2g+16\).

Step4: Subtract 16 from both sides

Subtract 16 from both sides: \(-16 = 2g\).

Step5: Divide by 2

Divide both sides by 2: \(g=-8\).

Answer:

\(-8\)