6(n+3)=2n-2

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


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

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

Reorder the terms:
18 + 6n = -2 + 2n

Solving
18 + 6n = -2 + 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.
18 + 6n + -2n = -2 + 2n + -2n

Combine like terms: 6n + -2n = 4n
18 + 4n = -2 + 2n + -2n

Combine like terms: 2n + -2n = 0
18 + 4n = -2 + 0
18 + 4n = -2

Add '-18' to each side of the equation.
18 + -18 + 4n = -2 + -18

Combine like terms: 18 + -18 = 0
0 + 4n = -2 + -18
4n = -2 + -18

Combine like terms: -2 + -18 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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