9+3n+-2=9n+14+-5n

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Solution for 9+3n+-2=9n+14+-5n equation:


Simplifying
9 + 3n + -2 = 9n + 14 + -5n

Reorder the terms:
9 + -2 + 3n = 9n + 14 + -5n

Combine like terms: 9 + -2 = 7
7 + 3n = 9n + 14 + -5n

Reorder the terms:
7 + 3n = 14 + 9n + -5n

Combine like terms: 9n + -5n = 4n
7 + 3n = 14 + 4n

Solving
7 + 3n = 14 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
7 + 3n + -4n = 14 + 4n + -4n

Combine like terms: 3n + -4n = -1n
7 + -1n = 14 + 4n + -4n

Combine like terms: 4n + -4n = 0
7 + -1n = 14 + 0
7 + -1n = 14

Add '-7' to each side of the equation.
7 + -7 + -1n = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -1n = 14 + -7
-1n = 14 + -7

Combine like terms: 14 + -7 = 7
-1n = 7

Divide each side by '-1'.
n = -7

Simplifying
n = -7

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