5(n+13)=n+8

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Solution for 5(n+13)=n+8 equation: 


Simplifying
5(n + 13) = n + 8

Reorder the terms:
5(13 + n) = n + 8
(13 * 5 + n * 5) = n + 8
(65 + 5n) = n + 8

Reorder the terms:
65 + 5n = 8 + n

Solving
65 + 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.
65 + 5n + -1n = 8 + n + -1n

Combine like terms: 5n + -1n = 4n
65 + 4n = 8 + n + -1n

Combine like terms: n + -1n = 0
65 + 4n = 8 + 0
65 + 4n = 8

Add '-65' to each side of the equation.
65 + -65 + 4n = 8 + -65

Combine like terms: 65 + -65 = 0
0 + 4n = 8 + -65
4n = 8 + -65

Combine like terms: 8 + -65 = -57
4n = -57

Divide each side by '4'.
n = -14.25

Simplifying
n = -14.25

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