7r+6=3(-8-r)

Solution for 7r+6=3(-8-r) equation:

Simplifying
7r + 6 = 3(-8 + -1r)

Reorder the terms:
6 + 7r = 3(-8 + -1r)
6 + 7r = (-8 * 3 + -1r * 3)
6 + 7r = (-24 + -3r)

Solving
6 + 7r = -24 + -3r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '3r' to each side of the equation.
6 + 7r + 3r = -24 + -3r + 3r

Combine like terms: 7r + 3r = 10r
6 + 10r = -24 + -3r + 3r

Combine like terms: -3r + 3r = 0
6 + 10r = -24 + 0
6 + 10r = -24

Add '-6' to each side of the equation.
6 + -6 + 10r = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 10r = -24 + -6
10r = -24 + -6

Combine like terms: -24 + -6 = -30
10r = -30

Divide each side by '10'.
r = -3

Simplifying
r = -3