15r+45=30r-60

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Solution for 15r+45=30r-60 equation:


Simplifying
15r + 45 = 30r + -60

Reorder the terms:
45 + 15r = 30r + -60

Reorder the terms:
45 + 15r = -60 + 30r

Solving
45 + 15r = -60 + 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
45 + 15r + -30r = -60 + 30r + -30r

Combine like terms: 15r + -30r = -15r
45 + -15r = -60 + 30r + -30r

Combine like terms: 30r + -30r = 0
45 + -15r = -60 + 0
45 + -15r = -60

Add '-45' to each side of the equation.
45 + -45 + -15r = -60 + -45

Combine like terms: 45 + -45 = 0
0 + -15r = -60 + -45
-15r = -60 + -45

Combine like terms: -60 + -45 = -105
-15r = -105

Divide each side by '-15'.
r = 7

Simplifying
r = 7

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