-10m-4-2m=-(6m+10)+3(m+8)

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Solution for -10m-4-2m=-(6m+10)+3(m+8) equation:


Simplifying
-10m + -4 + -2m = -1(6m + 10) + 3(m + 8)

Reorder the terms:
-4 + -10m + -2m = -1(6m + 10) + 3(m + 8)

Combine like terms: -10m + -2m = -12m
-4 + -12m = -1(6m + 10) + 3(m + 8)

Reorder the terms:
-4 + -12m = -1(10 + 6m) + 3(m + 8)
-4 + -12m = (10 * -1 + 6m * -1) + 3(m + 8)
-4 + -12m = (-10 + -6m) + 3(m + 8)

Reorder the terms:
-4 + -12m = -10 + -6m + 3(8 + m)
-4 + -12m = -10 + -6m + (8 * 3 + m * 3)
-4 + -12m = -10 + -6m + (24 + 3m)

Reorder the terms:
-4 + -12m = -10 + 24 + -6m + 3m

Combine like terms: -10 + 24 = 14
-4 + -12m = 14 + -6m + 3m

Combine like terms: -6m + 3m = -3m
-4 + -12m = 14 + -3m

Solving
-4 + -12m = 14 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-4 + -12m + 3m = 14 + -3m + 3m

Combine like terms: -12m + 3m = -9m
-4 + -9m = 14 + -3m + 3m

Combine like terms: -3m + 3m = 0
-4 + -9m = 14 + 0
-4 + -9m = 14

Add '4' to each side of the equation.
-4 + 4 + -9m = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -9m = 14 + 4
-9m = 14 + 4

Combine like terms: 14 + 4 = 18
-9m = 18

Divide each side by '-9'.
m = -2

Simplifying
m = -2

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