-(-3r-6)=6r+6(r+4)

Solution for -(-3r-6)=6r+6(r+4) equation:

Simplifying
-1(-3r + -6) = 6r + 6(r + 4)

Reorder the terms:
-1(-6 + -3r) = 6r + 6(r + 4)
(-6 * -1 + -3r * -1) = 6r + 6(r + 4)
(6 + 3r) = 6r + 6(r + 4)

Reorder the terms:
6 + 3r = 6r + 6(4 + r)
6 + 3r = 6r + (4 * 6 + r * 6)
6 + 3r = 6r + (24 + 6r)

Reorder the terms:
6 + 3r = 24 + 6r + 6r

Combine like terms: 6r + 6r = 12r
6 + 3r = 24 + 12r

Solving
6 + 3r = 24 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
6 + 3r + -12r = 24 + 12r + -12r

Combine like terms: 3r + -12r = -9r
6 + -9r = 24 + 12r + -12r

Combine like terms: 12r + -12r = 0
6 + -9r = 24 + 0
6 + -9r = 24

Add '-6' to each side of the equation.
6 + -6 + -9r = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9r = 24 + -6
-9r = 24 + -6

Combine like terms: 24 + -6 = 18
-9r = 18

Divide each side by '-9'.
r = -2

Simplifying
r = -2