2(r+9)-6=7r+57

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Solution for 2(r+9)-6=7r+57 equation: 


Simplifying
2(r + 9) + -6 = 7r + 57

Reorder the terms:
2(9 + r) + -6 = 7r + 57
(9 * 2 + r * 2) + -6 = 7r + 57
(18 + 2r) + -6 = 7r + 57

Reorder the terms:
18 + -6 + 2r = 7r + 57

Combine like terms: 18 + -6 = 12
12 + 2r = 7r + 57

Reorder the terms:
12 + 2r = 57 + 7r

Solving
12 + 2r = 57 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
12 + 2r + -7r = 57 + 7r + -7r

Combine like terms: 2r + -7r = -5r
12 + -5r = 57 + 7r + -7r

Combine like terms: 7r + -7r = 0
12 + -5r = 57 + 0
12 + -5r = 57

Add '-12' to each side of the equation.
12 + -12 + -5r = 57 + -12

Combine like terms: 12 + -12 = 0
0 + -5r = 57 + -12
-5r = 57 + -12

Combine like terms: 57 + -12 = 45
-5r = 45

Divide each side by '-5'.
r = -9

Simplifying
r = -9

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