Question

b. $\frac{5}{8}(16d + 24)=6(d - 1)+1$

Explanation:

Step1: Expand both sides

First, expand $\frac{5}{8}(16d + 24)$ and $6(d - 1)+1$.
$\frac{5}{8}\times16d+\frac{5}{8}\times24=6d-6 + 1$.
$10d+15=6d - 5$.

Step2: Move like - terms

Move the terms with $d$ to one side and the constant terms to the other side.
$10d-6d=-5 - 15$.

Step3: Simplify

Simplify both sides of the equation.
$4d=-20$.

Step4: Solve for $d$

Divide both sides by 4.
$d=\frac{-20}{4}=-5$.

Answer:

$d = - 5$