2(6+7r)=12(r+7)-r

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Solution for 2(6+7r)=12(r+7)-r equation: 


Simplifying
2(6 + 7r) = 12(r + 7) + -1r
(6 * 2 + 7r * 2) = 12(r + 7) + -1r
(12 + 14r) = 12(r + 7) + -1r

Reorder the terms:
12 + 14r = 12(7 + r) + -1r
12 + 14r = (7 * 12 + r * 12) + -1r
12 + 14r = (84 + 12r) + -1r

Combine like terms: 12r + -1r = 11r
12 + 14r = 84 + 11r

Solving
12 + 14r = 84 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
12 + 14r + -11r = 84 + 11r + -11r

Combine like terms: 14r + -11r = 3r
12 + 3r = 84 + 11r + -11r

Combine like terms: 11r + -11r = 0
12 + 3r = 84 + 0
12 + 3r = 84

Add '-12' to each side of the equation.
12 + -12 + 3r = 84 + -12

Combine like terms: 12 + -12 = 0
0 + 3r = 84 + -12
3r = 84 + -12

Combine like terms: 84 + -12 = 72
3r = 72

Divide each side by '3'.
r = 24

Simplifying
r = 24

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