-3(n-6)=2-n

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


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

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

Solving
18 + -3n = 2 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
18 + -3n + n = 2 + -1n + n

Combine like terms: -3n + n = -2n
18 + -2n = 2 + -1n + n

Combine like terms: -1n + n = 0
18 + -2n = 2 + 0
18 + -2n = 2

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

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

Combine like terms: 2 + -18 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8

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