-6n-12=-3(n+6)

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Solution for -6n-12=-3(n+6) equation:


Simplifying
-6n + -12 = -3(n + 6)

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

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

Solving
-12 + -6n = -18 + -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 + -6n + 3n = -18 + -3n + 3n

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

Combine like terms: -3n + 3n = 0
-12 + -3n = -18 + 0
-12 + -3n = -18

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

Combine like terms: -12 + 12 = 0
0 + -3n = -18 + 12
-3n = -18 + 12

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

Divide each side by '-3'.
n = 2

Simplifying
n = 2

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