2r-6=-4(-2r+18)

Solution for 2r-6=-4(-2r+18) equation:

Simplifying
2r + -6 = -4(-2r + 18)

Reorder the terms:
-6 + 2r = -4(-2r + 18)

Reorder the terms:
-6 + 2r = -4(18 + -2r)
-6 + 2r = (18 * -4 + -2r * -4)
-6 + 2r = (-72 + 8r)

Solving
-6 + 2r = -72 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-6 + 2r + -8r = -72 + 8r + -8r

Combine like terms: 2r + -8r = -6r
-6 + -6r = -72 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + -6r = -72 + 0
-6 + -6r = -72

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

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

Combine like terms: -72 + 6 = -66
-6r = -66

Divide each side by '-6'.
r = 11

Simplifying
r = 11