-3(4m+1)+6m=4(2m-6)

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Solution for -3(4m+1)+6m=4(2m-6) equation:


Simplifying
-3(4m + 1) + 6m = 4(2m + -6)

Reorder the terms:
-3(1 + 4m) + 6m = 4(2m + -6)
(1 * -3 + 4m * -3) + 6m = 4(2m + -6)
(-3 + -12m) + 6m = 4(2m + -6)

Combine like terms: -12m + 6m = -6m
-3 + -6m = 4(2m + -6)

Reorder the terms:
-3 + -6m = 4(-6 + 2m)
-3 + -6m = (-6 * 4 + 2m * 4)
-3 + -6m = (-24 + 8m)

Solving
-3 + -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.
-3 + -6m + -8m = -24 + 8m + -8m

Combine like terms: -6m + -8m = -14m
-3 + -14m = -24 + 8m + -8m

Combine like terms: 8m + -8m = 0
-3 + -14m = -24 + 0
-3 + -14m = -24

Add '3' to each side of the equation.
-3 + 3 + -14m = -24 + 3

Combine like terms: -3 + 3 = 0
0 + -14m = -24 + 3
-14m = -24 + 3

Combine like terms: -24 + 3 = -21
-14m = -21

Divide each side by '-14'.
m = 1.5

Simplifying
m = 1.5

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