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

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


Simplifying
(m + n) + -1(5m + -3n) = 0

Remove parenthesis around (m + n)
m + n + -1(5m + -3n) = 0
m + n + (5m * -1 + -3n * -1) = 0
m + n + (-5m + 3n) = 0

Reorder the terms:
m + -5m + n + 3n = 0

Combine like terms: m + -5m = -4m
-4m + n + 3n = 0

Combine like terms: n + 3n = 4n
-4m + 4n = 0

Solving
-4m + 4n = 0

Solving for variable 'm'.

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

Add '-4n' to each side of the equation.
-4m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
-4m + 0 = 0 + -4n
-4m = 0 + -4n
Remove the zero:
-4m = -4n

Divide each side by '-4'.
m = n

Simplifying
m = n

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