n-5=8n+7

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


Simplifying
n + -5 = 8n + 7

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

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

Solving
-5 + n = 7 + 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.
-5 + n + -8n = 7 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
-5 + -7n = 7 + 0
-5 + -7n = 7

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

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

Combine like terms: 7 + 5 = 12
-7n = 12

Divide each side by '-7'.
n = -1.714285714

Simplifying
n = -1.714285714

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