7n+14=5n-3

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Solution for 7n+14=5n-3 equation:


Simplifying
7n + 14 = 5n + -3

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

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

Solving
14 + 7n = -3 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
14 + 7n + -5n = -3 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
14 + 2n = -3 + 0
14 + 2n = -3

Add '-14' to each side of the equation.
14 + -14 + 2n = -3 + -14

Combine like terms: 14 + -14 = 0
0 + 2n = -3 + -14
2n = -3 + -14

Combine like terms: -3 + -14 = -17
2n = -17

Divide each side by '2'.
n = -8.5

Simplifying
n = -8.5

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