-2(12-3n)=5(n+4)

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Solution for -2(12-3n)=5(n+4) equation:


Simplifying
-2(12 + -3n) = 5(n + 4)
(12 * -2 + -3n * -2) = 5(n + 4)
(-24 + 6n) = 5(n + 4)

Reorder the terms:
-24 + 6n = 5(4 + n)
-24 + 6n = (4 * 5 + n * 5)
-24 + 6n = (20 + 5n)

Solving
-24 + 6n = 20 + 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 = 20 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-24 + 1n = 20 + 5n + -5n

Combine like terms: 5n + -5n = 0
-24 + 1n = 20 + 0
-24 + 1n = 20

Add '24' to each side of the equation.
-24 + 24 + 1n = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 1n = 20 + 24
1n = 20 + 24

Combine like terms: 20 + 24 = 44
1n = 44

Divide each side by '1'.
n = 44

Simplifying
n = 44

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