Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. 3d + 3 - 20d = -9d + 3 -17d + 3 = -9d + 3 blank + 3 = 3 add 9d to both sides -8d = 0 blank d = blank divide both sides by -8

Explanation:

Step1: Combine like - terms on left side

Combined \(3d-20d=-17d\) in the equation \(3d + 3-20d=-9d + 3\) to get \(-17d + 3=-9d + 3\).

Step2: Add 9d to both sides

\(-17d+9d + 3=-9d+9d + 3\), which simplifies to \(-8d+3 = 3\).

Step3: Subtract 3 from both sides

\(-8d+3 - 3=3 - 3\), resulting in \(-8d = 0\).

Step4: Divide both sides by - 8

\(\frac{-8d}{-8}=\frac{0}{-8}\), so \(d = 0\).

Answer:

The first blank (description for \(-17d + 3=-9d + 3\)): Combine like - terms on the left side.
The second blank (left - hand side of \(-8d = 0\) after adding 9d to both sides): \(-8d+3\).
The third blank (description for \(-8d = 0\)): Subtract 3 from both sides.
The fourth blank (value of \(d\)): \(0\)