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

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


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

Reorder the terms:
2(6 + n) = 3(n + -1) + -6
(6 * 2 + n * 2) = 3(n + -1) + -6
(12 + 2n) = 3(n + -1) + -6

Reorder the terms:
12 + 2n = 3(-1 + n) + -6
12 + 2n = (-1 * 3 + n * 3) + -6
12 + 2n = (-3 + 3n) + -6

Reorder the terms:
12 + 2n = -3 + -6 + 3n

Combine like terms: -3 + -6 = -9
12 + 2n = -9 + 3n

Solving
12 + 2n = -9 + 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.
12 + 2n + -3n = -9 + 3n + -3n

Combine like terms: 2n + -3n = -1n
12 + -1n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
12 + -1n = -9 + 0
12 + -1n = -9

Add '-12' to each side of the equation.
12 + -12 + -1n = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = -9 + -12
-1n = -9 + -12

Combine like terms: -9 + -12 = -21
-1n = -21

Divide each side by '-1'.
n = 21

Simplifying
n = 21

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