2(5m+15)=-16-2(m-3)

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Solution for 2(5m+15)=-16-2(m-3) equation:


Simplifying
2(5m + 15) = -16 + -2(m + -3)

Reorder the terms:
2(15 + 5m) = -16 + -2(m + -3)
(15 * 2 + 5m * 2) = -16 + -2(m + -3)
(30 + 10m) = -16 + -2(m + -3)

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

Combine like terms: -16 + 6 = -10
30 + 10m = -10 + -2m

Solving
30 + 10m = -10 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
30 + 10m + 2m = -10 + -2m + 2m

Combine like terms: 10m + 2m = 12m
30 + 12m = -10 + -2m + 2m

Combine like terms: -2m + 2m = 0
30 + 12m = -10 + 0
30 + 12m = -10

Add '-30' to each side of the equation.
30 + -30 + 12m = -10 + -30

Combine like terms: 30 + -30 = 0
0 + 12m = -10 + -30
12m = -10 + -30

Combine like terms: -10 + -30 = -40
12m = -40

Divide each side by '12'.
m = -3.333333333

Simplifying
m = -3.333333333

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