-6(n-4)=2-5n

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Solution for -6(n-4)=2-5n equation:


Simplifying
-6(n + -4) = 2 + -5n

Reorder the terms:
-6(-4 + n) = 2 + -5n
(-4 * -6 + n * -6) = 2 + -5n
(24 + -6n) = 2 + -5n

Solving
24 + -6n = 2 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
24 + -6n + 5n = 2 + -5n + 5n

Combine like terms: -6n + 5n = -1n
24 + -1n = 2 + -5n + 5n

Combine like terms: -5n + 5n = 0
24 + -1n = 2 + 0
24 + -1n = 2

Add '-24' to each side of the equation.
24 + -24 + -1n = 2 + -24

Combine like terms: 24 + -24 = 0
0 + -1n = 2 + -24
-1n = 2 + -24

Combine like terms: 2 + -24 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22

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