2m-5(m+2)=-(9m+15)

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Solution for 2m-5(m+2)=-(9m+15) equation:


Simplifying
2m + -5(m + 2) = -1(9m + 15)

Reorder the terms:
2m + -5(2 + m) = -1(9m + 15)
2m + (2 * -5 + m * -5) = -1(9m + 15)
2m + (-10 + -5m) = -1(9m + 15)

Reorder the terms:
-10 + 2m + -5m = -1(9m + 15)

Combine like terms: 2m + -5m = -3m
-10 + -3m = -1(9m + 15)

Reorder the terms:
-10 + -3m = -1(15 + 9m)
-10 + -3m = (15 * -1 + 9m * -1)
-10 + -3m = (-15 + -9m)

Solving
-10 + -3m = -15 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
-10 + -3m + 9m = -15 + -9m + 9m

Combine like terms: -3m + 9m = 6m
-10 + 6m = -15 + -9m + 9m

Combine like terms: -9m + 9m = 0
-10 + 6m = -15 + 0
-10 + 6m = -15

Add '10' to each side of the equation.
-10 + 10 + 6m = -15 + 10

Combine like terms: -10 + 10 = 0
0 + 6m = -15 + 10
6m = -15 + 10

Combine like terms: -15 + 10 = -5
6m = -5

Divide each side by '6'.
m = -0.8333333333

Simplifying
m = -0.8333333333

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