2(m+6)+3(3m-8)=92

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Solution for 2(m+6)+3(3m-8)=92 equation: 


Simplifying
2(m + 6) + 3(3m + -8) = 92

Reorder the terms:
2(6 + m) + 3(3m + -8) = 92
(6 * 2 + m * 2) + 3(3m + -8) = 92
(12 + 2m) + 3(3m + -8) = 92

Reorder the terms:
12 + 2m + 3(-8 + 3m) = 92
12 + 2m + (-8 * 3 + 3m * 3) = 92
12 + 2m + (-24 + 9m) = 92

Reorder the terms:
12 + -24 + 2m + 9m = 92

Combine like terms: 12 + -24 = -12
-12 + 2m + 9m = 92

Combine like terms: 2m + 9m = 11m
-12 + 11m = 92

Solving
-12 + 11m = 92

Solving for variable 'm'.

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

Add '12' to each side of the equation.
-12 + 12 + 11m = 92 + 12

Combine like terms: -12 + 12 = 0
0 + 11m = 92 + 12
11m = 92 + 12

Combine like terms: 92 + 12 = 104
11m = 104

Divide each side by '11'.
m = 9.454545455

Simplifying
m = 9.454545455

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