6(3-2n)+6=8n+2(n+1)

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Solution for 6(3-2n)+6=8n+2(n+1) equation: 


Simplifying
6(3 + -2n) + 6 = 8n + 2(n + 1)
(3 * 6 + -2n * 6) + 6 = 8n + 2(n + 1)
(18 + -12n) + 6 = 8n + 2(n + 1)

Reorder the terms:
18 + 6 + -12n = 8n + 2(n + 1)

Combine like terms: 18 + 6 = 24
24 + -12n = 8n + 2(n + 1)

Reorder the terms:
24 + -12n = 8n + 2(1 + n)
24 + -12n = 8n + (1 * 2 + n * 2)
24 + -12n = 8n + (2 + 2n)

Reorder the terms:
24 + -12n = 2 + 8n + 2n

Combine like terms: 8n + 2n = 10n
24 + -12n = 2 + 10n

Solving
24 + -12n = 2 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
24 + -12n + -10n = 2 + 10n + -10n

Combine like terms: -12n + -10n = -22n
24 + -22n = 2 + 10n + -10n

Combine like terms: 10n + -10n = 0
24 + -22n = 2 + 0
24 + -22n = 2

Add '-24' to each side of the equation.
24 + -24 + -22n = 2 + -24

Combine like terms: 24 + -24 = 0
0 + -22n = 2 + -24
-22n = 2 + -24

Combine like terms: 2 + -24 = -22
-22n = -22

Divide each side by '-22'.
n = 1

Simplifying
n = 1

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