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

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


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

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

Reorder the terms:
8 + -6m = 4(6 + -2m)
8 + -6m = (6 * 4 + -2m * 4)
8 + -6m = (24 + -8m)

Solving
8 + -6m = 24 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
8 + -6m + 8m = 24 + -8m + 8m

Combine like terms: -6m + 8m = 2m
8 + 2m = 24 + -8m + 8m

Combine like terms: -8m + 8m = 0
8 + 2m = 24 + 0
8 + 2m = 24

Add '-8' to each side of the equation.
8 + -8 + 2m = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 2m = 24 + -8
2m = 24 + -8

Combine like terms: 24 + -8 = 16
2m = 16

Divide each side by '2'.
m = 8

Simplifying
m = 8

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