5n-4=3n+13

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Solution for 5n-4=3n+13 equation:


Simplifying
5n + -4 = 3n + 13

Reorder the terms:
-4 + 5n = 3n + 13

Reorder the terms:
-4 + 5n = 13 + 3n

Solving
-4 + 5n = 13 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-4 + 5n + -3n = 13 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-4 + 2n = 13 + 3n + -3n

Combine like terms: 3n + -3n = 0
-4 + 2n = 13 + 0
-4 + 2n = 13

Add '4' to each side of the equation.
-4 + 4 + 2n = 13 + 4

Combine like terms: -4 + 4 = 0
0 + 2n = 13 + 4
2n = 13 + 4

Combine like terms: 13 + 4 = 17
2n = 17

Divide each side by '2'.
n = 8.5

Simplifying
n = 8.5

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