Answer
$-\displaystyle \frac{7}{8}$
Work Step by Step
The aim is, step by step, to isolate $r$ on one side of the equation.
...Multiply out the parentheses on the left side: $-5(r+1)$
$3r+2-5r-5=6r+4$
...add/subtract like terms on the left side
$-2r-3=6r+4$
...Adding 3 to both sides removes free numbers from the left side
...Subtracting 6r from both sides removes terms containing r from the right side,
$-2r-3=6r+4\qquad .../+3-6r$
$-2r-6r=4+3\qquad ... $simplify
$-8r=7$
...Dividing both sides with $(-8)$ isolates $r$ on the left side.
$-8k=7 \qquad$...$/\div(-8)$
$r= -\displaystyle \frac{7}{8}$
