5n+4=3n-14

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Solution for 5n+4=3n-14 equation:


Simplifying
5n + 4 = 3n + -14

Reorder the terms:
4 + 5n = 3n + -14

Reorder the terms:
4 + 5n = -14 + 3n

Solving
4 + 5n = -14 + 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.
4 + 5n + -3n = -14 + 3n + -3n

Combine like terms: 5n + -3n = 2n
4 + 2n = -14 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + 2n = -14 + 0
4 + 2n = -14

Add '-4' to each side of the equation.
4 + -4 + 2n = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 2n = -14 + -4
2n = -14 + -4

Combine like terms: -14 + -4 = -18
2n = -18

Divide each side by '2'.
n = -9

Simplifying
n = -9

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