31(36+3r)=9(r-16)

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Solution for 31(36+3r)=9(r-16) equation: 


Simplifying
31(36 + 3r) = 9(r + -16)
(36 * 31 + 3r * 31) = 9(r + -16)
(1116 + 93r) = 9(r + -16)

Reorder the terms:
1116 + 93r = 9(-16 + r)
1116 + 93r = (-16 * 9 + r * 9)
1116 + 93r = (-144 + 9r)

Solving
1116 + 93r = -144 + 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.
1116 + 93r + -9r = -144 + 9r + -9r

Combine like terms: 93r + -9r = 84r
1116 + 84r = -144 + 9r + -9r

Combine like terms: 9r + -9r = 0
1116 + 84r = -144 + 0
1116 + 84r = -144

Add '-1116' to each side of the equation.
1116 + -1116 + 84r = -144 + -1116

Combine like terms: 1116 + -1116 = 0
0 + 84r = -144 + -1116
84r = -144 + -1116

Combine like terms: -144 + -1116 = -1260
84r = -1260

Divide each side by '84'.
r = -15

Simplifying
r = -15

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