2m-3(m+5)-15=10-30-40

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Solution for 2m-3(m+5)-15=10-30-40 equation: 


Simplifying
2m + -3(m + 5) + -15 = 10 + -30 + -40

Reorder the terms:
2m + -3(5 + m) + -15 = 10 + -30 + -40
2m + (5 * -3 + m * -3) + -15 = 10 + -30 + -40
2m + (-15 + -3m) + -15 = 10 + -30 + -40

Reorder the terms:
-15 + -15 + 2m + -3m = 10 + -30 + -40

Combine like terms: -15 + -15 = -30
-30 + 2m + -3m = 10 + -30 + -40

Combine like terms: 2m + -3m = -1m
-30 + -1m = 10 + -30 + -40

Combine like terms: 10 + -30 = -20
-30 + -1m = -20 + -40

Combine like terms: -20 + -40 = -60
-30 + -1m = -60

Solving
-30 + -1m = -60

Solving for variable 'm'.

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

Add '30' to each side of the equation.
-30 + 30 + -1m = -60 + 30

Combine like terms: -30 + 30 = 0
0 + -1m = -60 + 30
-1m = -60 + 30

Combine like terms: -60 + 30 = -30
-1m = -30

Divide each side by '-1'.
m = 30

Simplifying
m = 30

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