7(2m-4)=4(3m-1)

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Solution for 7(2m-4)=4(3m-1) equation:


Simplifying
7(2m + -4) = 4(3m + -1)

Reorder the terms:
7(-4 + 2m) = 4(3m + -1)
(-4 * 7 + 2m * 7) = 4(3m + -1)
(-28 + 14m) = 4(3m + -1)

Reorder the terms:
-28 + 14m = 4(-1 + 3m)
-28 + 14m = (-1 * 4 + 3m * 4)
-28 + 14m = (-4 + 12m)

Solving
-28 + 14m = -4 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
-28 + 14m + -12m = -4 + 12m + -12m

Combine like terms: 14m + -12m = 2m
-28 + 2m = -4 + 12m + -12m

Combine like terms: 12m + -12m = 0
-28 + 2m = -4 + 0
-28 + 2m = -4

Add '28' to each side of the equation.
-28 + 28 + 2m = -4 + 28

Combine like terms: -28 + 28 = 0
0 + 2m = -4 + 28
2m = -4 + 28

Combine like terms: -4 + 28 = 24
2m = 24

Divide each side by '2'.
m = 12

Simplifying
m = 12

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