5(n+1)=6(n-1)

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Solution for 5(n+1)=6(n-1) equation:


Simplifying
5(n + 1) = 6(n + -1)

Reorder the terms:
5(1 + n) = 6(n + -1)
(1 * 5 + n * 5) = 6(n + -1)
(5 + 5n) = 6(n + -1)

Reorder the terms:
5 + 5n = 6(-1 + n)
5 + 5n = (-1 * 6 + n * 6)
5 + 5n = (-6 + 6n)

Solving
5 + 5n = -6 + 6n

Solving for variable 'n'.

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

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

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

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

Add '-5' to each side of the equation.
5 + -5 + -1n = -6 + -5

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

Combine like terms: -6 + -5 = -11
-1n = -11

Divide each side by '-1'.
n = 11

Simplifying
n = 11

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