5(n+1)=-n+7

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Solution for 5(n+1)=-n+7 equation:


Simplifying
5(n + 1) = -1n + 7

Reorder the terms:
5(1 + n) = -1n + 7
(1 * 5 + n * 5) = -1n + 7
(5 + 5n) = -1n + 7

Reorder the terms:
5 + 5n = 7 + -1n

Solving
5 + 5n = 7 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
5 + 5n + n = 7 + -1n + n

Combine like terms: 5n + n = 6n
5 + 6n = 7 + -1n + n

Combine like terms: -1n + n = 0
5 + 6n = 7 + 0
5 + 6n = 7

Add '-5' to each side of the equation.
5 + -5 + 6n = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 6n = 7 + -5
6n = 7 + -5

Combine like terms: 7 + -5 = 2
6n = 2

Divide each side by '6'.
n = 0.3333333333

Simplifying
n = 0.3333333333

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