-2(9r+3)-7r=-10r+(12r+9)

Solution for -2(9r+3)-7r=-10r+(12r+9) equation:

Simplifying
-2(9r + 3) + -7r = -10r + (12r + 9)

Reorder the terms:
-2(3 + 9r) + -7r = -10r + (12r + 9)
(3 * -2 + 9r * -2) + -7r = -10r + (12r + 9)
(-6 + -18r) + -7r = -10r + (12r + 9)

Combine like terms: -18r + -7r = -25r
-6 + -25r = -10r + (12r + 9)

Reorder the terms:
-6 + -25r = -10r + (9 + 12r)

Remove parenthesis around (9 + 12r)
-6 + -25r = -10r + 9 + 12r

Reorder the terms:
-6 + -25r = 9 + -10r + 12r

Combine like terms: -10r + 12r = 2r
-6 + -25r = 9 + 2r

Solving
-6 + -25r = 9 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-6 + -25r + -2r = 9 + 2r + -2r

Combine like terms: -25r + -2r = -27r
-6 + -27r = 9 + 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + -27r = 9 + 0
-6 + -27r = 9

Add '6' to each side of the equation.
-6 + 6 + -27r = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -27r = 9 + 6
-27r = 9 + 6

Combine like terms: 9 + 6 = 15
-27r = 15

Divide each side by '-27'.
r = -0.5555555556

Simplifying
r = -0.5555555556