-7(m-8)+2(6m-1)=34

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Solution for -7(m-8)+2(6m-1)=34 equation:


Simplifying
-7(m + -8) + 2(6m + -1) = 34

Reorder the terms:
-7(-8 + m) + 2(6m + -1) = 34
(-8 * -7 + m * -7) + 2(6m + -1) = 34
(56 + -7m) + 2(6m + -1) = 34

Reorder the terms:
56 + -7m + 2(-1 + 6m) = 34
56 + -7m + (-1 * 2 + 6m * 2) = 34
56 + -7m + (-2 + 12m) = 34

Reorder the terms:
56 + -2 + -7m + 12m = 34

Combine like terms: 56 + -2 = 54
54 + -7m + 12m = 34

Combine like terms: -7m + 12m = 5m
54 + 5m = 34

Solving
54 + 5m = 34

Solving for variable 'm'.

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

Add '-54' to each side of the equation.
54 + -54 + 5m = 34 + -54

Combine like terms: 54 + -54 = 0
0 + 5m = 34 + -54
5m = 34 + -54

Combine like terms: 34 + -54 = -20
5m = -20

Divide each side by '5'.
m = -4

Simplifying
m = -4

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