(n+5)=8n+40

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Solution for (n+5)=8n+40 equation:


Simplifying
(n + 5) = 8n + 40

Reorder the terms:
(5 + n) = 8n + 40

Remove parenthesis around (5 + n)
5 + n = 8n + 40

Reorder the terms:
5 + n = 40 + 8n

Solving
5 + n = 40 + 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 = 40 + 8n + -8n

Combine like terms: n + -8n = -7n
5 + -7n = 40 + 8n + -8n

Combine like terms: 8n + -8n = 0
5 + -7n = 40 + 0
5 + -7n = 40

Add '-5' to each side of the equation.
5 + -5 + -7n = 40 + -5

Combine like terms: 5 + -5 = 0
0 + -7n = 40 + -5
-7n = 40 + -5

Combine like terms: 40 + -5 = 35
-7n = 35

Divide each side by '-7'.
n = -5

Simplifying
n = -5

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