3n-9n=3(12-8n)+4(1+2n)

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Solution for 3n-9n=3(12-8n)+4(1+2n) equation: 


Simplifying
3n + -9n = 3(12 + -8n) + 4(1 + 2n)

Combine like terms: 3n + -9n = -6n
-6n = 3(12 + -8n) + 4(1 + 2n)
-6n = (12 * 3 + -8n * 3) + 4(1 + 2n)
-6n = (36 + -24n) + 4(1 + 2n)
-6n = 36 + -24n + (1 * 4 + 2n * 4)
-6n = 36 + -24n + (4 + 8n)

Reorder the terms:
-6n = 36 + 4 + -24n + 8n

Combine like terms: 36 + 4 = 40
-6n = 40 + -24n + 8n

Combine like terms: -24n + 8n = -16n
-6n = 40 + -16n

Solving
-6n = 40 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
-6n + 16n = 40 + -16n + 16n

Combine like terms: -6n + 16n = 10n
10n = 40 + -16n + 16n

Combine like terms: -16n + 16n = 0
10n = 40 + 0
10n = 40

Divide each side by '10'.
n = 4

Simplifying
n = 4

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