3n+5=n-8

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Solution for 3n+5=n-8 equation:


Simplifying
3n + 5 = n + -8

Reorder the terms:
5 + 3n = n + -8

Reorder the terms:
5 + 3n = -8 + n

Solving
5 + 3n = -8 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
5 + 3n + -1n = -8 + n + -1n

Combine like terms: 3n + -1n = 2n
5 + 2n = -8 + n + -1n

Combine like terms: n + -1n = 0
5 + 2n = -8 + 0
5 + 2n = -8

Add '-5' to each side of the equation.
5 + -5 + 2n = -8 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = -8 + -5
2n = -8 + -5

Combine like terms: -8 + -5 = -13
2n = -13

Divide each side by '2'.
n = -6.5

Simplifying
n = -6.5

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