n+5=3n-9

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Solution for n+5=3n-9 equation:


Simplifying
n + 5 = 3n + -9

Reorder the terms:
5 + n = 3n + -9

Reorder the terms:
5 + n = -9 + 3n

Solving
5 + n = -9 + 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.
5 + n + -3n = -9 + 3n + -3n

Combine like terms: n + -3n = -2n
5 + -2n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + -2n = -9 + 0
5 + -2n = -9

Add '-5' to each side of the equation.
5 + -5 + -2n = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = -9 + -5
-2n = -9 + -5

Combine like terms: -9 + -5 = -14
-2n = -14

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

Simplifying
n = 7

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