9(n+1)=3(n-5)

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Solution for 9(n+1)=3(n-5) equation:


Simplifying
9(n + 1) = 3(n + -5)

Reorder the terms:
9(1 + n) = 3(n + -5)
(1 * 9 + n * 9) = 3(n + -5)
(9 + 9n) = 3(n + -5)

Reorder the terms:
9 + 9n = 3(-5 + n)
9 + 9n = (-5 * 3 + n * 3)
9 + 9n = (-15 + 3n)

Solving
9 + 9n = -15 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
9 + 9n + -3n = -15 + 3n + -3n

Combine like terms: 9n + -3n = 6n
9 + 6n = -15 + 3n + -3n

Combine like terms: 3n + -3n = 0
9 + 6n = -15 + 0
9 + 6n = -15

Add '-9' to each side of the equation.
9 + -9 + 6n = -15 + -9

Combine like terms: 9 + -9 = 0
0 + 6n = -15 + -9
6n = -15 + -9

Combine like terms: -15 + -9 = -24
6n = -24

Divide each side by '6'.
n = -4

Simplifying
n = -4

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