5(3r+36)=12(5r-30)

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Solution for 5(3r+36)=12(5r-30) equation: 


Simplifying
5(3r + 36) = 12(5r + -30)

Reorder the terms:
5(36 + 3r) = 12(5r + -30)
(36 * 5 + 3r * 5) = 12(5r + -30)
(180 + 15r) = 12(5r + -30)

Reorder the terms:
180 + 15r = 12(-30 + 5r)
180 + 15r = (-30 * 12 + 5r * 12)
180 + 15r = (-360 + 60r)

Solving
180 + 15r = -360 + 60r

Solving for variable 'r'.

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

Add '-60r' to each side of the equation.
180 + 15r + -60r = -360 + 60r + -60r

Combine like terms: 15r + -60r = -45r
180 + -45r = -360 + 60r + -60r

Combine like terms: 60r + -60r = 0
180 + -45r = -360 + 0
180 + -45r = -360

Add '-180' to each side of the equation.
180 + -180 + -45r = -360 + -180

Combine like terms: 180 + -180 = 0
0 + -45r = -360 + -180
-45r = -360 + -180

Combine like terms: -360 + -180 = -540
-45r = -540

Divide each side by '-45'.
r = 12

Simplifying
r = 12

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