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

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


Simplifying
5m + 3n + p + 2n + -1m + (-5p) + 3n = 0

Reorder the terms:
5m + -1m + 3n + 2n + 3n + p + (-5p) = 0

Combine like terms: 5m + -1m = 4m
4m + 3n + 2n + 3n + p + (-5p) = 0

Combine like terms: 3n + 2n = 5n
4m + 5n + 3n + p + (-5p) = 0

Combine like terms: 5n + 3n = 8n
4m + 8n + p + (-5p) = 0

Combine like terms: p + (-5p) = -4p
4m + 8n + -4p = 0

Solving
4m + 8n + -4p = 0

Solving for variable 'm'.

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

Add '-8n' to each side of the equation.
4m + 8n + -8n + -4p = 0 + -8n

Combine like terms: 8n + -8n = 0
4m + 0 + -4p = 0 + -8n
4m + -4p = 0 + -8n
Remove the zero:
4m + -4p = -8n

Add '4p' to each side of the equation.
4m + -4p + 4p = -8n + 4p

Combine like terms: -4p + 4p = 0
4m + 0 = -8n + 4p
4m = -8n + 4p

Divide each side by '4'.
m = -2n + p

Simplifying
m = -2n + p

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