2(5r-5)+4=-12+2r+9(2r-6)

Solution for 2(5r-5)+4=-12+2r+9(2r-6) equation:

Simplifying
2(5r + -5) + 4 = -12 + 2r + 9(2r + -6)

Reorder the terms:
2(-5 + 5r) + 4 = -12 + 2r + 9(2r + -6)
(-5 * 2 + 5r * 2) + 4 = -12 + 2r + 9(2r + -6)
(-10 + 10r) + 4 = -12 + 2r + 9(2r + -6)

Reorder the terms:
-10 + 4 + 10r = -12 + 2r + 9(2r + -6)

Combine like terms: -10 + 4 = -6
-6 + 10r = -12 + 2r + 9(2r + -6)

Reorder the terms:
-6 + 10r = -12 + 2r + 9(-6 + 2r)
-6 + 10r = -12 + 2r + (-6 * 9 + 2r * 9)
-6 + 10r = -12 + 2r + (-54 + 18r)

Reorder the terms:
-6 + 10r = -12 + -54 + 2r + 18r

Combine like terms: -12 + -54 = -66
-6 + 10r = -66 + 2r + 18r

Combine like terms: 2r + 18r = 20r
-6 + 10r = -66 + 20r

Solving
-6 + 10r = -66 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
-6 + 10r + -20r = -66 + 20r + -20r

Combine like terms: 10r + -20r = -10r
-6 + -10r = -66 + 20r + -20r

Combine like terms: 20r + -20r = 0
-6 + -10r = -66 + 0
-6 + -10r = -66

Add '6' to each side of the equation.
-6 + 6 + -10r = -66 + 6

Combine like terms: -6 + 6 = 0
0 + -10r = -66 + 6
-10r = -66 + 6

Combine like terms: -66 + 6 = -60
-10r = -60

Divide each side by '-10'.
r = 6

Simplifying
r = 6