20r-12=2r-2(-12r-18)

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Solution for 20r-12=2r-2(-12r-18) equation:


Simplifying
20r + -12 = 2r + -2(-12r + -18)

Reorder the terms:
-12 + 20r = 2r + -2(-12r + -18)

Reorder the terms:
-12 + 20r = 2r + -2(-18 + -12r)
-12 + 20r = 2r + (-18 * -2 + -12r * -2)
-12 + 20r = 2r + (36 + 24r)

Reorder the terms:
-12 + 20r = 36 + 2r + 24r

Combine like terms: 2r + 24r = 26r
-12 + 20r = 36 + 26r

Solving
-12 + 20r = 36 + 26r

Solving for variable 'r'.

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

Add '-26r' to each side of the equation.
-12 + 20r + -26r = 36 + 26r + -26r

Combine like terms: 20r + -26r = -6r
-12 + -6r = 36 + 26r + -26r

Combine like terms: 26r + -26r = 0
-12 + -6r = 36 + 0
-12 + -6r = 36

Add '12' to each side of the equation.
-12 + 12 + -6r = 36 + 12

Combine like terms: -12 + 12 = 0
0 + -6r = 36 + 12
-6r = 36 + 12

Combine like terms: 36 + 12 = 48
-6r = 48

Divide each side by '-6'.
r = -8

Simplifying
r = -8

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