108=-9(r-5)+9

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Solution for 108=-9(r-5)+9 equation:


Simplifying
108 = -9(r + -5) + 9

Reorder the terms:
108 = -9(-5 + r) + 9
108 = (-5 * -9 + r * -9) + 9
108 = (45 + -9r) + 9

Reorder the terms:
108 = 45 + 9 + -9r

Combine like terms: 45 + 9 = 54
108 = 54 + -9r

Solving
108 = 54 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
108 + 9r = 54 + -9r + 9r

Combine like terms: -9r + 9r = 0
108 + 9r = 54 + 0
108 + 9r = 54

Add '-108' to each side of the equation.
108 + -108 + 9r = 54 + -108

Combine like terms: 108 + -108 = 0
0 + 9r = 54 + -108
9r = 54 + -108

Combine like terms: 54 + -108 = -54
9r = -54

Divide each side by '9'.
r = -6

Simplifying
r = -6

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