2m-3n-[-2m+n-(m-n)]=

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Solution for 2m-3n-[-2m+n-(m-n)]= equation:


Simplifying
2m + -3n + -1[-2m + n + -1(m + -1n)] = 0
2m + -3n + -1[-2m + n + (m * -1 + -1n * -1)] = 0
2m + -3n + -1[-2m + n + (-1m + 1n)] = 0

Reorder the terms:
2m + -3n + -1[-2m + -1m + n + 1n] = 0

Combine like terms: -2m + -1m = -3m
2m + -3n + -1[-3m + n + 1n] = 0

Combine like terms: n + 1n = 2n
2m + -3n + -1[-3m + 2n] = 0
2m + -3n + [-3m * -1 + 2n * -1] = 0
2m + -3n + [3m + -2n] = 0

Reorder the terms:
2m + 3m + -3n + -2n = 0

Combine like terms: 2m + 3m = 5m
5m + -3n + -2n = 0

Combine like terms: -3n + -2n = -5n
5m + -5n = 0

Solving
5m + -5n = 0

Solving for variable 'm'.

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

Add '5n' to each side of the equation.
5m + -5n + 5n = 0 + 5n

Combine like terms: -5n + 5n = 0
5m + 0 = 0 + 5n
5m = 0 + 5n
Remove the zero:
5m = 5n

Divide each side by '5'.
m = n

Simplifying
m = n

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