6n-5=7n-13

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


Simplifying
6n + -5 = 7n + -13

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

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

Solving
-5 + 6n = -13 + 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.
-5 + 6n + -7n = -13 + 7n + -7n

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

Combine like terms: 7n + -7n = 0
-5 + -1n = -13 + 0
-5 + -1n = -13

Add '5' to each side of the equation.
-5 + 5 + -1n = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -1n = -13 + 5
-1n = -13 + 5

Combine like terms: -13 + 5 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8

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