2n+6-n+10=n-5-3n

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Solution for 2n+6-n+10=n-5-3n equation:


Simplifying
2n + 6 + -1n + 10 = n + -5 + -3n

Reorder the terms:
6 + 10 + 2n + -1n = n + -5 + -3n

Combine like terms: 6 + 10 = 16
16 + 2n + -1n = n + -5 + -3n

Combine like terms: 2n + -1n = 1n
16 + 1n = n + -5 + -3n

Reorder the terms:
16 + 1n = -5 + n + -3n

Combine like terms: n + -3n = -2n
16 + 1n = -5 + -2n

Solving
16 + 1n = -5 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
16 + 1n + 2n = -5 + -2n + 2n

Combine like terms: 1n + 2n = 3n
16 + 3n = -5 + -2n + 2n

Combine like terms: -2n + 2n = 0
16 + 3n = -5 + 0
16 + 3n = -5

Add '-16' to each side of the equation.
16 + -16 + 3n = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 3n = -5 + -16
3n = -5 + -16

Combine like terms: -5 + -16 = -21
3n = -21

Divide each side by '3'.
n = -7

Simplifying
n = -7

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