5(n+5)-(1-4n)=8n

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Solution for 5(n+5)-(1-4n)=8n equation:


Simplifying
5(n + 5) + -1(1 + -4n) = 8n

Reorder the terms:
5(5 + n) + -1(1 + -4n) = 8n
(5 * 5 + n * 5) + -1(1 + -4n) = 8n
(25 + 5n) + -1(1 + -4n) = 8n
25 + 5n + (1 * -1 + -4n * -1) = 8n
25 + 5n + (-1 + 4n) = 8n

Reorder the terms:
25 + -1 + 5n + 4n = 8n

Combine like terms: 25 + -1 = 24
24 + 5n + 4n = 8n

Combine like terms: 5n + 4n = 9n
24 + 9n = 8n

Solving
24 + 9n = 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.
24 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
24 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
24 + 1n = 0

Add '-24' to each side of the equation.
24 + -24 + 1n = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 1n = 0 + -24
1n = 0 + -24

Combine like terms: 0 + -24 = -24
1n = -24

Divide each side by '1'.
n = -24

Simplifying
n = -24

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