3(n-1)=8(3-3n)

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Solution for 3(n-1)=8(3-3n) equation:


Simplifying
3(n + -1) = 8(3 + -3n)

Reorder the terms:
3(-1 + n) = 8(3 + -3n)
(-1 * 3 + n * 3) = 8(3 + -3n)
(-3 + 3n) = 8(3 + -3n)
-3 + 3n = (3 * 8 + -3n * 8)
-3 + 3n = (24 + -24n)

Solving
-3 + 3n = 24 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
-3 + 3n + 24n = 24 + -24n + 24n

Combine like terms: 3n + 24n = 27n
-3 + 27n = 24 + -24n + 24n

Combine like terms: -24n + 24n = 0
-3 + 27n = 24 + 0
-3 + 27n = 24

Add '3' to each side of the equation.
-3 + 3 + 27n = 24 + 3

Combine like terms: -3 + 3 = 0
0 + 27n = 24 + 3
27n = 24 + 3

Combine like terms: 24 + 3 = 27
27n = 27

Divide each side by '27'.
n = 1

Simplifying
n = 1

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