4(-3m+1)=-10(m-4)-14m

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Solution for 4(-3m+1)=-10(m-4)-14m equation: 


Simplifying
4(-3m + 1) = -10(m + -4) + -14m

Reorder the terms:
4(1 + -3m) = -10(m + -4) + -14m
(1 * 4 + -3m * 4) = -10(m + -4) + -14m
(4 + -12m) = -10(m + -4) + -14m

Reorder the terms:
4 + -12m = -10(-4 + m) + -14m
4 + -12m = (-4 * -10 + m * -10) + -14m
4 + -12m = (40 + -10m) + -14m

Combine like terms: -10m + -14m = -24m
4 + -12m = 40 + -24m

Solving
4 + -12m = 40 + -24m

Solving for variable 'm'.

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

Add '24m' to each side of the equation.
4 + -12m + 24m = 40 + -24m + 24m

Combine like terms: -12m + 24m = 12m
4 + 12m = 40 + -24m + 24m

Combine like terms: -24m + 24m = 0
4 + 12m = 40 + 0
4 + 12m = 40

Add '-4' to each side of the equation.
4 + -4 + 12m = 40 + -4

Combine like terms: 4 + -4 = 0
0 + 12m = 40 + -4
12m = 40 + -4

Combine like terms: 40 + -4 = 36
12m = 36

Divide each side by '12'.
m = 3

Simplifying
m = 3

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