4-6(m-10)=8(m+8)-12m

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Solution for 4-6(m-10)=8(m+8)-12m equation:


Simplifying
4 + -6(m + -10) = 8(m + 8) + -12m

Reorder the terms:
4 + -6(-10 + m) = 8(m + 8) + -12m
4 + (-10 * -6 + m * -6) = 8(m + 8) + -12m
4 + (60 + -6m) = 8(m + 8) + -12m

Combine like terms: 4 + 60 = 64
64 + -6m = 8(m + 8) + -12m

Reorder the terms:
64 + -6m = 8(8 + m) + -12m
64 + -6m = (8 * 8 + m * 8) + -12m
64 + -6m = (64 + 8m) + -12m

Combine like terms: 8m + -12m = -4m
64 + -6m = 64 + -4m

Add '-64' to each side of the equation.
64 + -64 + -6m = 64 + -64 + -4m

Combine like terms: 64 + -64 = 0
0 + -6m = 64 + -64 + -4m
-6m = 64 + -64 + -4m

Combine like terms: 64 + -64 = 0
-6m = 0 + -4m
-6m = -4m

Solving
-6m = -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-6m + 4m = -4m + 4m

Combine like terms: -6m + 4m = -2m
-2m = -4m + 4m

Combine like terms: -4m + 4m = 0
-2m = 0

Divide each side by '-2'.
m = 0

Simplifying
m = 0

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