7n+6=8n-5

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Solution for 7n+6=8n-5 equation:


Simplifying
7n + 6 = 8n + -5

Reorder the terms:
6 + 7n = 8n + -5

Reorder the terms:
6 + 7n = -5 + 8n

Solving
6 + 7n = -5 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 7n + -8n = -5 + 8n + -8n

Combine like terms: 7n + -8n = -1n
6 + -1n = -5 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -1n = -5 + 0
6 + -1n = -5

Add '-6' to each side of the equation.
6 + -6 + -1n = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = -5 + -6
-1n = -5 + -6

Combine like terms: -5 + -6 = -11
-1n = -11

Divide each side by '-1'.
n = 11

Simplifying
n = 11

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