5(n+4)=3n-24

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Solution for 5(n+4)=3n-24 equation:


Simplifying
5(n + 4) = 3n + -24

Reorder the terms:
5(4 + n) = 3n + -24
(4 * 5 + n * 5) = 3n + -24
(20 + 5n) = 3n + -24

Reorder the terms:
20 + 5n = -24 + 3n

Solving
20 + 5n = -24 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
20 + 5n + -3n = -24 + 3n + -3n

Combine like terms: 5n + -3n = 2n
20 + 2n = -24 + 3n + -3n

Combine like terms: 3n + -3n = 0
20 + 2n = -24 + 0
20 + 2n = -24

Add '-20' to each side of the equation.
20 + -20 + 2n = -24 + -20

Combine like terms: 20 + -20 = 0
0 + 2n = -24 + -20
2n = -24 + -20

Combine like terms: -24 + -20 = -44
2n = -44

Divide each side by '2'.
n = -22

Simplifying
n = -22

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