3(n+1)=8n-12

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Solution for 3(n+1)=8n-12 equation:


Simplifying
3(n + 1) = 8n + -12

Reorder the terms:
3(1 + n) = 8n + -12
(1 * 3 + n * 3) = 8n + -12
(3 + 3n) = 8n + -12

Reorder the terms:
3 + 3n = -12 + 8n

Solving
3 + 3n = -12 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
3 + 3n + -8n = -12 + 8n + -8n

Combine like terms: 3n + -8n = -5n
3 + -5n = -12 + 8n + -8n

Combine like terms: 8n + -8n = 0
3 + -5n = -12 + 0
3 + -5n = -12

Add '-3' to each side of the equation.
3 + -3 + -5n = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -5n = -12 + -3
-5n = -12 + -3

Combine like terms: -12 + -3 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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