6+3(2r-2)-3(4r+4)-9=

Solution for 6+3(2r-2)-3(4r+4)-9= equation:

Simplifying
6 + 3(2r + -2) + -3(4r + 4) + -9 = 0

Reorder the terms:
6 + 3(-2 + 2r) + -3(4r + 4) + -9 = 0
6 + (-2 * 3 + 2r * 3) + -3(4r + 4) + -9 = 0
6 + (-6 + 6r) + -3(4r + 4) + -9 = 0

Reorder the terms:
6 + -6 + 6r + -3(4 + 4r) + -9 = 0
6 + -6 + 6r + (4 * -3 + 4r * -3) + -9 = 0
6 + -6 + 6r + (-12 + -12r) + -9 = 0

Reorder the terms:
6 + -6 + -12 + -9 + 6r + -12r = 0

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

Combine like terms: -12 + -9 = -21
-21 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-21 + -6r = 0

Solving
-21 + -6r = 0

Solving for variable 'r'.

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

Add '21' to each side of the equation.
-21 + 21 + -6r = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -6r = 0 + 21
-6r = 0 + 21

Combine like terms: 0 + 21 = 21
-6r = 21

Divide each side by '-6'.
r = -3.5

Simplifying
r = -3.5