7n-13=5n+17

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Solution for 7n-13=5n+17 equation:


Simplifying
7n + -13 = 5n + 17

Reorder the terms:
-13 + 7n = 5n + 17

Reorder the terms:
-13 + 7n = 17 + 5n

Solving
-13 + 7n = 17 + 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.
-13 + 7n + -5n = 17 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-13 + 2n = 17 + 5n + -5n

Combine like terms: 5n + -5n = 0
-13 + 2n = 17 + 0
-13 + 2n = 17

Add '13' to each side of the equation.
-13 + 13 + 2n = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 2n = 17 + 13
2n = 17 + 13

Combine like terms: 17 + 13 = 30
2n = 30

Divide each side by '2'.
n = 15

Simplifying
n = 15

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