solve for d. -6 + d = 7 + 3d + 3 d =

Explanation:

Step1: Combine like terms on right - side

First, combine the constant terms on the right - hand side of the equation. $7 + 3=10$, so the equation becomes $-6 + d=10 + 3d$.

Step2: Move terms with $d$ to one side

Subtract $d$ from both sides: $-6 + d-d=10 + 3d - d$, which simplifies to $-6=10 + 2d$.

Step3: Move constant to the other side

Subtract 10 from both sides: $-6-10=10 + 2d-10$, resulting in $-16 = 2d$.

Step4: Solve for $d$

Divide both sides by 2: $\frac{-16}{2}=\frac{2d}{2}$, so $d=-8$.

Answer:

$-8$