10m-2=-4(-3m-2)

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Solution for 10m-2=-4(-3m-2) equation:


Simplifying
10m + -2 = -4(-3m + -2)

Reorder the terms:
-2 + 10m = -4(-3m + -2)

Reorder the terms:
-2 + 10m = -4(-2 + -3m)
-2 + 10m = (-2 * -4 + -3m * -4)
-2 + 10m = (8 + 12m)

Solving
-2 + 10m = 8 + 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.
-2 + 10m + -12m = 8 + 12m + -12m

Combine like terms: 10m + -12m = -2m
-2 + -2m = 8 + 12m + -12m

Combine like terms: 12m + -12m = 0
-2 + -2m = 8 + 0
-2 + -2m = 8

Add '2' to each side of the equation.
-2 + 2 + -2m = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -2m = 8 + 2
-2m = 8 + 2

Combine like terms: 8 + 2 = 10
-2m = 10

Divide each side by '-2'.
m = -5

Simplifying
m = -5

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