12=-3(5-4r)+r-12

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Solution for 12=-3(5-4r)+r-12 equation: 


Simplifying
12 = -3(5 + -4r) + r + -12
12 = (5 * -3 + -4r * -3) + r + -12
12 = (-15 + 12r) + r + -12

Reorder the terms:
12 = -15 + -12 + 12r + r

Combine like terms: -15 + -12 = -27
12 = -27 + 12r + r

Combine like terms: 12r + r = 13r
12 = -27 + 13r

Solving
12 = -27 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
12 + -13r = -27 + 13r + -13r

Combine like terms: 13r + -13r = 0
12 + -13r = -27 + 0
12 + -13r = -27

Add '-12' to each side of the equation.
12 + -12 + -13r = -27 + -12

Combine like terms: 12 + -12 = 0
0 + -13r = -27 + -12
-13r = -27 + -12

Combine like terms: -27 + -12 = -39
-13r = -39

Divide each side by '-13'.
r = 3

Simplifying
r = 3

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