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

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


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

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

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

Combine like terms: -8 + 8 = 0
0 + 6m = 4 + -2(m + -3) + 6m
6m = 4 + -2(m + -3) + 6m

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

Combine like terms: 4 + 6 = 10
6m = 10 + -2m + 6m

Combine like terms: -2m + 6m = 4m
6m = 10 + 4m

Solving
6m = 10 + 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 = 10 + 4m + -4m

Combine like terms: 6m + -4m = 2m
2m = 10 + 4m + -4m

Combine like terms: 4m + -4m = 0
2m = 10 + 0
2m = 10

Divide each side by '2'.
m = 5

Simplifying
m = 5

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