5n+6=3n-8

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Solution for 5n+6=3n-8 equation:


Simplifying
5n + 6 = 3n + -8

Reorder the terms:
6 + 5n = 3n + -8

Reorder the terms:
6 + 5n = -8 + 3n

Solving
6 + 5n = -8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 5n + -3n = -8 + 3n + -3n

Combine like terms: 5n + -3n = 2n
6 + 2n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 2n = -8 + 0
6 + 2n = -8

Add '-6' to each side of the equation.
6 + -6 + 2n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = -8 + -6
2n = -8 + -6

Combine like terms: -8 + -6 = -14
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7

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