5(n+4)=n-8

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


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

Reorder the terms:
5(4 + n) = n + -8
(4 * 5 + n * 5) = n + -8
(20 + 5n) = n + -8

Reorder the terms:
20 + 5n = -8 + n

Solving
20 + 5n = -8 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
20 + 5n + -1n = -8 + n + -1n

Combine like terms: 5n + -1n = 4n
20 + 4n = -8 + n + -1n

Combine like terms: n + -1n = 0
20 + 4n = -8 + 0
20 + 4n = -8

Add '-20' to each side of the equation.
20 + -20 + 4n = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 4n = -8 + -20
4n = -8 + -20

Combine like terms: -8 + -20 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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