7n+3=5n-13

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Solution for 7n+3=5n-13 equation:


Simplifying
7n + 3 = 5n + -13

Reorder the terms:
3 + 7n = 5n + -13

Reorder the terms:
3 + 7n = -13 + 5n

Solving
3 + 7n = -13 + 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.
3 + 7n + -5n = -13 + 5n + -5n

Combine like terms: 7n + -5n = 2n
3 + 2n = -13 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 2n = -13 + 0
3 + 2n = -13

Add '-3' to each side of the equation.
3 + -3 + 2n = -13 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = -13 + -3
2n = -13 + -3

Combine like terms: -13 + -3 = -16
2n = -16

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

Simplifying
n = -8

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