p-3p-n-2n+5n+p+2p-n=

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

Simplifying
p + -3p + -1n + -2n + 5n + p + 2p + -1n = 0

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

Combine like terms: -1n + -2n = -3n
-3n + 5n + -1n + p + -3p + p + 2p = 0

Combine like terms: -3n + 5n = 2n
2n + -1n + p + -3p + p + 2p = 0

Combine like terms: 2n + -1n = 1n
1n + p + -3p + p + 2p = 0

Combine like terms: p + -3p = -2p
1n + -2p + p + 2p = 0

Combine like terms: -2p + p = -1p
1n + -1p + 2p = 0

Combine like terms: -1p + 2p = 1p
1n + 1p = 0

Solving
1n + 1p = 0

Solving for variable 'n'.

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

Add '-1p' to each side of the equation.
1n + 1p + -1p = 0 + -1p

Combine like terms: 1p + -1p = 0
1n + 0 = 0 + -1p
1n = 0 + -1p
Remove the zero:
1n = -1p

Divide each side by '1'.
n = -1p

Simplifying
n = -1p