5n-13=3n-1

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Solution for 5n-13=3n-1 equation:


Simplifying
5n + -13 = 3n + -1

Reorder the terms:
-13 + 5n = 3n + -1

Reorder the terms:
-13 + 5n = -1 + 3n

Solving
-13 + 5n = -1 + 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.
-13 + 5n + -3n = -1 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-13 + 2n = -1 + 3n + -3n

Combine like terms: 3n + -3n = 0
-13 + 2n = -1 + 0
-13 + 2n = -1

Add '13' to each side of the equation.
-13 + 13 + 2n = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 2n = -1 + 13
2n = -1 + 13

Combine like terms: -1 + 13 = 12
2n = 12

Divide each side by '2'.
n = 6

Simplifying
n = 6

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