2n+14=7n-16

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Solution for 2n+14=7n-16 equation:


Simplifying
2n + 14 = 7n + -16

Reorder the terms:
14 + 2n = 7n + -16

Reorder the terms:
14 + 2n = -16 + 7n

Solving
14 + 2n = -16 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
14 + 2n + -7n = -16 + 7n + -7n

Combine like terms: 2n + -7n = -5n
14 + -5n = -16 + 7n + -7n

Combine like terms: 7n + -7n = 0
14 + -5n = -16 + 0
14 + -5n = -16

Add '-14' to each side of the equation.
14 + -14 + -5n = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -5n = -16 + -14
-5n = -16 + -14

Combine like terms: -16 + -14 = -30
-5n = -30

Divide each side by '-5'.
n = 6

Simplifying
n = 6

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