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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