9(r+1)-18=2r+12

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Solution for 9(r+1)-18=2r+12 equation:


Simplifying
9(r + 1) + -18 = 2r + 12

Reorder the terms:
9(1 + r) + -18 = 2r + 12
(1 * 9 + r * 9) + -18 = 2r + 12
(9 + 9r) + -18 = 2r + 12

Reorder the terms:
9 + -18 + 9r = 2r + 12

Combine like terms: 9 + -18 = -9
-9 + 9r = 2r + 12

Reorder the terms:
-9 + 9r = 12 + 2r

Solving
-9 + 9r = 12 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-9 + 9r + -2r = 12 + 2r + -2r

Combine like terms: 9r + -2r = 7r
-9 + 7r = 12 + 2r + -2r

Combine like terms: 2r + -2r = 0
-9 + 7r = 12 + 0
-9 + 7r = 12

Add '9' to each side of the equation.
-9 + 9 + 7r = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 7r = 12 + 9
7r = 12 + 9

Combine like terms: 12 + 9 = 21
7r = 21

Divide each side by '7'.
r = 3

Simplifying
r = 3

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