5(n+6)=6-3(n-24)

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Solution for 5(n+6)=6-3(n-24) equation:


Simplifying
5(n + 6) = 6 + -3(n + -24)

Reorder the terms:
5(6 + n) = 6 + -3(n + -24)
(6 * 5 + n * 5) = 6 + -3(n + -24)
(30 + 5n) = 6 + -3(n + -24)

Reorder the terms:
30 + 5n = 6 + -3(-24 + n)
30 + 5n = 6 + (-24 * -3 + n * -3)
30 + 5n = 6 + (72 + -3n)

Combine like terms: 6 + 72 = 78
30 + 5n = 78 + -3n

Solving
30 + 5n = 78 + -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.
30 + 5n + 3n = 78 + -3n + 3n

Combine like terms: 5n + 3n = 8n
30 + 8n = 78 + -3n + 3n

Combine like terms: -3n + 3n = 0
30 + 8n = 78 + 0
30 + 8n = 78

Add '-30' to each side of the equation.
30 + -30 + 8n = 78 + -30

Combine like terms: 30 + -30 = 0
0 + 8n = 78 + -30
8n = 78 + -30

Combine like terms: 78 + -30 = 48
8n = 48

Divide each side by '8'.
n = 6

Simplifying
n = 6

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