5(n+8)=4-3(n-4)

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Solution for 5(n+8)=4-3(n-4) equation: 


Simplifying
5(n + 8) = 4 + -3(n + -4)

Reorder the terms:
5(8 + n) = 4 + -3(n + -4)
(8 * 5 + n * 5) = 4 + -3(n + -4)
(40 + 5n) = 4 + -3(n + -4)

Reorder the terms:
40 + 5n = 4 + -3(-4 + n)
40 + 5n = 4 + (-4 * -3 + n * -3)
40 + 5n = 4 + (12 + -3n)

Combine like terms: 4 + 12 = 16
40 + 5n = 16 + -3n

Solving
40 + 5n = 16 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
40 + 5n + 3n = 16 + -3n + 3n

Combine like terms: 5n + 3n = 8n
40 + 8n = 16 + -3n + 3n

Combine like terms: -3n + 3n = 0
40 + 8n = 16 + 0
40 + 8n = 16

Add '-40' to each side of the equation.
40 + -40 + 8n = 16 + -40

Combine like terms: 40 + -40 = 0
0 + 8n = 16 + -40
8n = 16 + -40

Combine like terms: 16 + -40 = -24
8n = -24

Divide each side by '8'.
n = -3

Simplifying
n = -3

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