118=-2r+3(-4r+2)

Solution for 118=-2r+3(-4r+2) equation:

Simplifying
118 = -2r + 3(-4r + 2)

Reorder the terms:
118 = -2r + 3(2 + -4r)
118 = -2r + (2 * 3 + -4r * 3)
118 = -2r + (6 + -12r)

Reorder the terms:
118 = 6 + -2r + -12r

Combine like terms: -2r + -12r = -14r
118 = 6 + -14r

Solving
118 = 6 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
118 + 14r = 6 + -14r + 14r

Combine like terms: -14r + 14r = 0
118 + 14r = 6 + 0
118 + 14r = 6

Add '-118' to each side of the equation.
118 + -118 + 14r = 6 + -118

Combine like terms: 118 + -118 = 0
0 + 14r = 6 + -118
14r = 6 + -118

Combine like terms: 6 + -118 = -112
14r = -112

Divide each side by '14'.
r = -8

Simplifying
r = -8