-6(1-2m)+8=8(4m+3)-2

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Solution for -6(1-2m)+8=8(4m+3)-2 equation: 


Simplifying
-6(1 + -2m) + 8 = 8(4m + 3) + -2
(1 * -6 + -2m * -6) + 8 = 8(4m + 3) + -2
(-6 + 12m) + 8 = 8(4m + 3) + -2

Reorder the terms:
-6 + 8 + 12m = 8(4m + 3) + -2

Combine like terms: -6 + 8 = 2
2 + 12m = 8(4m + 3) + -2

Reorder the terms:
2 + 12m = 8(3 + 4m) + -2
2 + 12m = (3 * 8 + 4m * 8) + -2
2 + 12m = (24 + 32m) + -2

Reorder the terms:
2 + 12m = 24 + -2 + 32m

Combine like terms: 24 + -2 = 22
2 + 12m = 22 + 32m

Solving
2 + 12m = 22 + 32m

Solving for variable 'm'.

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

Add '-32m' to each side of the equation.
2 + 12m + -32m = 22 + 32m + -32m

Combine like terms: 12m + -32m = -20m
2 + -20m = 22 + 32m + -32m

Combine like terms: 32m + -32m = 0
2 + -20m = 22 + 0
2 + -20m = 22

Add '-2' to each side of the equation.
2 + -2 + -20m = 22 + -2

Combine like terms: 2 + -2 = 0
0 + -20m = 22 + -2
-20m = 22 + -2

Combine like terms: 22 + -2 = 20
-20m = 20

Divide each side by '-20'.
m = -1

Simplifying
m = -1

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