5(4+2m)-(8m-12)=68

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Solution for 5(4+2m)-(8m-12)=68 equation: 


Simplifying
5(4 + 2m) + -1(8m + -12) = 68
(4 * 5 + 2m * 5) + -1(8m + -12) = 68
(20 + 10m) + -1(8m + -12) = 68

Reorder the terms:
20 + 10m + -1(-12 + 8m) = 68
20 + 10m + (-12 * -1 + 8m * -1) = 68
20 + 10m + (12 + -8m) = 68

Reorder the terms:
20 + 12 + 10m + -8m = 68

Combine like terms: 20 + 12 = 32
32 + 10m + -8m = 68

Combine like terms: 10m + -8m = 2m
32 + 2m = 68

Solving
32 + 2m = 68

Solving for variable 'm'.

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

Add '-32' to each side of the equation.
32 + -32 + 2m = 68 + -32

Combine like terms: 32 + -32 = 0
0 + 2m = 68 + -32
2m = 68 + -32

Combine like terms: 68 + -32 = 36
2m = 36

Divide each side by '2'.
m = 18

Simplifying
m = 18

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