2-n+6=3n+9

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Solution for 2-n+6=3n+9 equation:


Simplifying
2 + -1n + 6 = 3n + 9

Reorder the terms:
2 + 6 + -1n = 3n + 9

Combine like terms: 2 + 6 = 8
8 + -1n = 3n + 9

Reorder the terms:
8 + -1n = 9 + 3n

Solving
8 + -1n = 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.
8 + -1n + -3n = 9 + 3n + -3n

Combine like terms: -1n + -3n = -4n
8 + -4n = 9 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -4n = 9 + 0
8 + -4n = 9

Add '-8' to each side of the equation.
8 + -8 + -4n = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -4n = 9 + -8
-4n = 9 + -8

Combine like terms: 9 + -8 = 1
-4n = 1

Divide each side by '-4'.
n = -0.25

Simplifying
n = -0.25

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