4(1-m)=2(m-5)+8

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Solution for 4(1-m)=2(m-5)+8 equation:


Simplifying
4(1 + -1m) = 2(m + -5) + 8
(1 * 4 + -1m * 4) = 2(m + -5) + 8
(4 + -4m) = 2(m + -5) + 8

Reorder the terms:
4 + -4m = 2(-5 + m) + 8
4 + -4m = (-5 * 2 + m * 2) + 8
4 + -4m = (-10 + 2m) + 8

Reorder the terms:
4 + -4m = -10 + 8 + 2m

Combine like terms: -10 + 8 = -2
4 + -4m = -2 + 2m

Solving
4 + -4m = -2 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
4 + -4m + -2m = -2 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
4 + -6m = -2 + 0
4 + -6m = -2

Add '-4' to each side of the equation.
4 + -4 + -6m = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -6m = -2 + -4
-6m = -2 + -4

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

Divide each side by '-6'.
m = 1

Simplifying
m = 1

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