-7(3m-4)=-10(m-1)-12m

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Solution for -7(3m-4)=-10(m-1)-12m equation:


Simplifying
-7(3m + -4) = -10(m + -1) + -12m

Reorder the terms:
-7(-4 + 3m) = -10(m + -1) + -12m
(-4 * -7 + 3m * -7) = -10(m + -1) + -12m
(28 + -21m) = -10(m + -1) + -12m

Reorder the terms:
28 + -21m = -10(-1 + m) + -12m
28 + -21m = (-1 * -10 + m * -10) + -12m
28 + -21m = (10 + -10m) + -12m

Combine like terms: -10m + -12m = -22m
28 + -21m = 10 + -22m

Solving
28 + -21m = 10 + -22m

Solving for variable 'm'.

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

Add '22m' to each side of the equation.
28 + -21m + 22m = 10 + -22m + 22m

Combine like terms: -21m + 22m = 1m
28 + 1m = 10 + -22m + 22m

Combine like terms: -22m + 22m = 0
28 + 1m = 10 + 0
28 + 1m = 10

Add '-28' to each side of the equation.
28 + -28 + 1m = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 1m = 10 + -28
1m = 10 + -28

Combine like terms: 10 + -28 = -18
1m = -18

Divide each side by '1'.
m = -18

Simplifying
m = -18

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