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

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


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

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

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

Reorder the terms:
5 = 8 + n

Solving
5 = 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.
5 + -1n = 8 + n + -1n

Combine like terms: n + -1n = 0
5 + -1n = 8 + 0
5 + -1n = 8

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

Combine like terms: 5 + -5 = 0
0 + -1n = 8 + -5
-1n = 8 + -5

Combine like terms: 8 + -5 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3

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