7(1-7m)=-4(-6+12m)-10

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Solution for 7(1-7m)=-4(-6+12m)-10 equation: 


Simplifying
7(1 + -7m) = -4(-6 + 12m) + -10
(1 * 7 + -7m * 7) = -4(-6 + 12m) + -10
(7 + -49m) = -4(-6 + 12m) + -10
7 + -49m = (-6 * -4 + 12m * -4) + -10
7 + -49m = (24 + -48m) + -10

Reorder the terms:
7 + -49m = 24 + -10 + -48m

Combine like terms: 24 + -10 = 14
7 + -49m = 14 + -48m

Solving
7 + -49m = 14 + -48m

Solving for variable 'm'.

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

Add '48m' to each side of the equation.
7 + -49m + 48m = 14 + -48m + 48m

Combine like terms: -49m + 48m = -1m
7 + -1m = 14 + -48m + 48m

Combine like terms: -48m + 48m = 0
7 + -1m = 14 + 0
7 + -1m = 14

Add '-7' to each side of the equation.
7 + -7 + -1m = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 14 + -7
-1m = 14 + -7

Combine like terms: 14 + -7 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7

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