5n+13=7n-6

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Solution for 5n+13=7n-6 equation:


Simplifying
5n + 13 = 7n + -6

Reorder the terms:
13 + 5n = 7n + -6

Reorder the terms:
13 + 5n = -6 + 7n

Solving
13 + 5n = -6 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
13 + 5n + -7n = -6 + 7n + -7n

Combine like terms: 5n + -7n = -2n
13 + -2n = -6 + 7n + -7n

Combine like terms: 7n + -7n = 0
13 + -2n = -6 + 0
13 + -2n = -6

Add '-13' to each side of the equation.
13 + -13 + -2n = -6 + -13

Combine like terms: 13 + -13 = 0
0 + -2n = -6 + -13
-2n = -6 + -13

Combine like terms: -6 + -13 = -19
-2n = -19

Divide each side by '-2'.
n = 9.5

Simplifying
n = 9.5

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