20-6n=-2(n+6)

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Solution for 20-6n=-2(n+6) equation:


Simplifying
20 + -6n = -2(n + 6)

Reorder the terms:
20 + -6n = -2(6 + n)
20 + -6n = (6 * -2 + n * -2)
20 + -6n = (-12 + -2n)

Solving
20 + -6n = -12 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
20 + -6n + 2n = -12 + -2n + 2n

Combine like terms: -6n + 2n = -4n
20 + -4n = -12 + -2n + 2n

Combine like terms: -2n + 2n = 0
20 + -4n = -12 + 0
20 + -4n = -12

Add '-20' to each side of the equation.
20 + -20 + -4n = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -4n = -12 + -20
-4n = -12 + -20

Combine like terms: -12 + -20 = -32
-4n = -32

Divide each side by '-4'.
n = 8

Simplifying
n = 8

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