6(r+1)=3r-6

Solution for 6(r+1)=3r-6 equation:

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

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

Reorder the terms:
6 + 6r = -6 + 3r

Solving
6 + 6r = -6 + 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 + 6r + -3r = -6 + 3r + -3r

Combine like terms: 6r + -3r = 3r
6 + 3r = -6 + 3r + -3r

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

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

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

Combine like terms: -6 + -6 = -12
3r = -12

Divide each side by '3'.
r = -4

Simplifying
r = -4