117=3(r+9)+3(r)

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Solution for 117=3(r+9)+3(r) equation: 


Simplifying
117 = 3(r + 9) + 3(r)

Reorder the terms:
117 = 3(9 + r) + 3(r)
117 = (9 * 3 + r * 3) + 3(r)
117 = (27 + 3r) + 3(r)

Combine like terms: 3r + 3r = 6r
117 = 27 + 6r

Solving
117 = 27 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
117 + -6r = 27 + 6r + -6r

Combine like terms: 6r + -6r = 0
117 + -6r = 27 + 0
117 + -6r = 27

Add '-117' to each side of the equation.
117 + -117 + -6r = 27 + -117

Combine like terms: 117 + -117 = 0
0 + -6r = 27 + -117
-6r = 27 + -117

Combine like terms: 27 + -117 = -90
-6r = -90

Divide each side by '-6'.
r = 15

Simplifying
r = 15

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