-3(m-10)-2(m+4)=-2+6m-(m+16)

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Solution for -3(m-10)-2(m+4)=-2+6m-(m+16) equation: 


Simplifying
-3(m + -10) + -2(m + 4) = -2 + 6m + -1(m + 16)

Reorder the terms:
-3(-10 + m) + -2(m + 4) = -2 + 6m + -1(m + 16)
(-10 * -3 + m * -3) + -2(m + 4) = -2 + 6m + -1(m + 16)
(30 + -3m) + -2(m + 4) = -2 + 6m + -1(m + 16)

Reorder the terms:
30 + -3m + -2(4 + m) = -2 + 6m + -1(m + 16)
30 + -3m + (4 * -2 + m * -2) = -2 + 6m + -1(m + 16)
30 + -3m + (-8 + -2m) = -2 + 6m + -1(m + 16)

Reorder the terms:
30 + -8 + -3m + -2m = -2 + 6m + -1(m + 16)

Combine like terms: 30 + -8 = 22
22 + -3m + -2m = -2 + 6m + -1(m + 16)

Combine like terms: -3m + -2m = -5m
22 + -5m = -2 + 6m + -1(m + 16)

Reorder the terms:
22 + -5m = -2 + 6m + -1(16 + m)
22 + -5m = -2 + 6m + (16 * -1 + m * -1)
22 + -5m = -2 + 6m + (-16 + -1m)

Reorder the terms:
22 + -5m = -2 + -16 + 6m + -1m

Combine like terms: -2 + -16 = -18
22 + -5m = -18 + 6m + -1m

Combine like terms: 6m + -1m = 5m
22 + -5m = -18 + 5m

Solving
22 + -5m = -18 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
22 + -5m + -5m = -18 + 5m + -5m

Combine like terms: -5m + -5m = -10m
22 + -10m = -18 + 5m + -5m

Combine like terms: 5m + -5m = 0
22 + -10m = -18 + 0
22 + -10m = -18

Add '-22' to each side of the equation.
22 + -22 + -10m = -18 + -22

Combine like terms: 22 + -22 = 0
0 + -10m = -18 + -22
-10m = -18 + -22

Combine like terms: -18 + -22 = -40
-10m = -40

Divide each side by '-10'.
m = 4

Simplifying
m = 4

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