n+7=3n-9

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Solution for n+7=3n-9 equation:


Simplifying
n + 7 = 3n + -9

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

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

Solving
7 + 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.
7 + n + -3n = -9 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
7 + -2n = -9 + 0
7 + -2n = -9

Add '-7' to each side of the equation.
7 + -7 + -2n = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -2n = -9 + -7
-2n = -9 + -7

Combine like terms: -9 + -7 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8

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