12r+96=36r-72

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Solution for 12r+96=36r-72 equation:


Simplifying
12r + 96 = 36r + -72

Reorder the terms:
96 + 12r = 36r + -72

Reorder the terms:
96 + 12r = -72 + 36r

Solving
96 + 12r = -72 + 36r

Solving for variable 'r'.

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

Add '-36r' to each side of the equation.
96 + 12r + -36r = -72 + 36r + -36r

Combine like terms: 12r + -36r = -24r
96 + -24r = -72 + 36r + -36r

Combine like terms: 36r + -36r = 0
96 + -24r = -72 + 0
96 + -24r = -72

Add '-96' to each side of the equation.
96 + -96 + -24r = -72 + -96

Combine like terms: 96 + -96 = 0
0 + -24r = -72 + -96
-24r = -72 + -96

Combine like terms: -72 + -96 = -168
-24r = -168

Divide each side by '-24'.
r = 7

Simplifying
r = 7

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