11(n+3)=3(n-8)

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Solution for 11(n+3)=3(n-8) equation: 


Simplifying
11(n + 3) = 3(n + -8)

Reorder the terms:
11(3 + n) = 3(n + -8)
(3 * 11 + n * 11) = 3(n + -8)
(33 + 11n) = 3(n + -8)

Reorder the terms:
33 + 11n = 3(-8 + n)
33 + 11n = (-8 * 3 + n * 3)
33 + 11n = (-24 + 3n)

Solving
33 + 11n = -24 + 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.
33 + 11n + -3n = -24 + 3n + -3n

Combine like terms: 11n + -3n = 8n
33 + 8n = -24 + 3n + -3n

Combine like terms: 3n + -3n = 0
33 + 8n = -24 + 0
33 + 8n = -24

Add '-33' to each side of the equation.
33 + -33 + 8n = -24 + -33

Combine like terms: 33 + -33 = 0
0 + 8n = -24 + -33
8n = -24 + -33

Combine like terms: -24 + -33 = -57
8n = -57

Divide each side by '8'.
n = -7.125

Simplifying
n = -7.125

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