-2(6r-3)=-9(8+10r)

Solution for -2(6r-3)=-9(8+10r) equation:

Simplifying
-2(6r + -3) = -9(8 + 10r)

Reorder the terms:
-2(-3 + 6r) = -9(8 + 10r)
(-3 * -2 + 6r * -2) = -9(8 + 10r)
(6 + -12r) = -9(8 + 10r)
6 + -12r = (8 * -9 + 10r * -9)
6 + -12r = (-72 + -90r)

Solving
6 + -12r = -72 + -90r

Solving for variable 'r'.

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

Add '90r' to each side of the equation.
6 + -12r + 90r = -72 + -90r + 90r

Combine like terms: -12r + 90r = 78r
6 + 78r = -72 + -90r + 90r

Combine like terms: -90r + 90r = 0
6 + 78r = -72 + 0
6 + 78r = -72

Add '-6' to each side of the equation.
6 + -6 + 78r = -72 + -6

Combine like terms: 6 + -6 = 0
0 + 78r = -72 + -6
78r = -72 + -6

Combine like terms: -72 + -6 = -78
78r = -78

Divide each side by '78'.
r = -1

Simplifying
r = -1