5n+7=6n+13

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


Simplifying
5n + 7 = 6n + 13

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

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

Solving
7 + 5n = 13 + 6n

Solving for variable 'n'.

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

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

Combine like terms: 5n + -6n = -1n
7 + -1n = 13 + 6n + -6n

Combine like terms: 6n + -6n = 0
7 + -1n = 13 + 0
7 + -1n = 13

Add '-7' to each side of the equation.
7 + -7 + -1n = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -1n = 13 + -7
-1n = 13 + -7

Combine like terms: 13 + -7 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6

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