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

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


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

Reorder the terms:
-3(-5 + m) + -1(m + 5) = -5m + 2m
(-5 * -3 + m * -3) + -1(m + 5) = -5m + 2m
(15 + -3m) + -1(m + 5) = -5m + 2m

Reorder the terms:
15 + -3m + -1(5 + m) = -5m + 2m
15 + -3m + (5 * -1 + m * -1) = -5m + 2m
15 + -3m + (-5 + -1m) = -5m + 2m

Reorder the terms:
15 + -5 + -3m + -1m = -5m + 2m

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

Combine like terms: -3m + -1m = -4m
10 + -4m = -5m + 2m

Combine like terms: -5m + 2m = -3m
10 + -4m = -3m

Solving
10 + -4m = -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.
10 + -4m + 3m = -3m + 3m

Combine like terms: -4m + 3m = -1m
10 + -1m = -3m + 3m

Combine like terms: -3m + 3m = 0
10 + -1m = 0

Add '-10' to each side of the equation.
10 + -10 + -1m = 0 + -10

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

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

Divide each side by '-1'.
m = 10

Simplifying
m = 10

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