7n+2=9n-14

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Solution for 7n+2=9n-14 equation:


Simplifying
7n + 2 = 9n + -14

Reorder the terms:
2 + 7n = 9n + -14

Reorder the terms:
2 + 7n = -14 + 9n

Solving
2 + 7n = -14 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
2 + 7n + -9n = -14 + 9n + -9n

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

Combine like terms: 9n + -9n = 0
2 + -2n = -14 + 0
2 + -2n = -14

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

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

Combine like terms: -14 + -2 = -16
-2n = -16

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

Simplifying
n = 8

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