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

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


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

Reorder the terms:
3(-6 + -1n) = 6 + 2(6n + 3)
(-6 * 3 + -1n * 3) = 6 + 2(6n + 3)
(-18 + -3n) = 6 + 2(6n + 3)

Reorder the terms:
-18 + -3n = 6 + 2(3 + 6n)
-18 + -3n = 6 + (3 * 2 + 6n * 2)
-18 + -3n = 6 + (6 + 12n)

Combine like terms: 6 + 6 = 12
-18 + -3n = 12 + 12n

Solving
-18 + -3n = 12 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-18 + -3n + -12n = 12 + 12n + -12n

Combine like terms: -3n + -12n = -15n
-18 + -15n = 12 + 12n + -12n

Combine like terms: 12n + -12n = 0
-18 + -15n = 12 + 0
-18 + -15n = 12

Add '18' to each side of the equation.
-18 + 18 + -15n = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -15n = 12 + 18
-15n = 12 + 18

Combine like terms: 12 + 18 = 30
-15n = 30

Divide each side by '-15'.
n = -2

Simplifying
n = -2

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