15(3r-12)=3(5r+10)

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Solution for 15(3r-12)=3(5r+10) equation:


Simplifying
15(3r + -12) = 3(5r + 10)

Reorder the terms:
15(-12 + 3r) = 3(5r + 10)
(-12 * 15 + 3r * 15) = 3(5r + 10)
(-180 + 45r) = 3(5r + 10)

Reorder the terms:
-180 + 45r = 3(10 + 5r)
-180 + 45r = (10 * 3 + 5r * 3)
-180 + 45r = (30 + 15r)

Solving
-180 + 45r = 30 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
-180 + 45r + -15r = 30 + 15r + -15r

Combine like terms: 45r + -15r = 30r
-180 + 30r = 30 + 15r + -15r

Combine like terms: 15r + -15r = 0
-180 + 30r = 30 + 0
-180 + 30r = 30

Add '180' to each side of the equation.
-180 + 180 + 30r = 30 + 180

Combine like terms: -180 + 180 = 0
0 + 30r = 30 + 180
30r = 30 + 180

Combine like terms: 30 + 180 = 210
30r = 210

Divide each side by '30'.
r = 7

Simplifying
r = 7

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