-2(m-5)+3m=-(m+2)-7

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Solution for -2(m-5)+3m=-(m+2)-7 equation: 


Simplifying
-2(m + -5) + 3m = -1(m + 2) + -7

Reorder the terms:
-2(-5 + m) + 3m = -1(m + 2) + -7
(-5 * -2 + m * -2) + 3m = -1(m + 2) + -7
(10 + -2m) + 3m = -1(m + 2) + -7

Combine like terms: -2m + 3m = 1m
10 + 1m = -1(m + 2) + -7

Reorder the terms:
10 + 1m = -1(2 + m) + -7
10 + 1m = (2 * -1 + m * -1) + -7
10 + 1m = (-2 + -1m) + -7

Reorder the terms:
10 + 1m = -2 + -7 + -1m

Combine like terms: -2 + -7 = -9
10 + 1m = -9 + -1m

Solving
10 + 1m = -9 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
10 + 1m + m = -9 + -1m + m

Combine like terms: 1m + m = 2m
10 + 2m = -9 + -1m + m

Combine like terms: -1m + m = 0
10 + 2m = -9 + 0
10 + 2m = -9

Add '-10' to each side of the equation.
10 + -10 + 2m = -9 + -10

Combine like terms: 10 + -10 = 0
0 + 2m = -9 + -10
2m = -9 + -10

Combine like terms: -9 + -10 = -19
2m = -19

Divide each side by '2'.
m = -9.5

Simplifying
m = -9.5

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