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

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


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

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

Reorder the terms:
18 + 6n = -2(3 + -2n)
18 + 6n = (3 * -2 + -2n * -2)
18 + 6n = (-6 + 4n)

Solving
18 + 6n = -6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
18 + 6n + -4n = -6 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
18 + 2n = -6 + 0
18 + 2n = -6

Add '-18' to each side of the equation.
18 + -18 + 2n = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 2n = -6 + -18
2n = -6 + -18

Combine like terms: -6 + -18 = -24
2n = -24

Divide each side by '2'.
n = -12

Simplifying
n = -12

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