Question

solve for d.
-7d + 8 = -7 + 1 - 9d
d = \boxed{}

Explanation:

Step1: Simplify right side

Simplify \(-7 + 1\) to \(-6\), so the equation becomes \(-7d + 8 = -6 - 9d\).

Step2: Add \(9d\) to both sides

Adding \(9d\) to each side: \(-7d + 9d + 8 = -6 - 9d + 9d\), which simplifies to \(2d + 8 = -6\).

Step3: Subtract 8 from both sides

Subtract 8: \(2d + 8 - 8 = -6 - 8\), so \(2d = -14\).

Step4: Divide by 2

Divide both sides by 2: \(\frac{2d}{2} = \frac{-14}{2}\), giving \(d = -7\).

Answer:

\(-7\)