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

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


Simplifying
4(6 + 2n) = 5(n + 6)
(6 * 4 + 2n * 4) = 5(n + 6)
(24 + 8n) = 5(n + 6)

Reorder the terms:
24 + 8n = 5(6 + n)
24 + 8n = (6 * 5 + n * 5)
24 + 8n = (30 + 5n)

Solving
24 + 8n = 30 + 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 + 8n + -5n = 30 + 5n + -5n

Combine like terms: 8n + -5n = 3n
24 + 3n = 30 + 5n + -5n

Combine like terms: 5n + -5n = 0
24 + 3n = 30 + 0
24 + 3n = 30

Add '-24' to each side of the equation.
24 + -24 + 3n = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 3n = 30 + -24
3n = 30 + -24

Combine like terms: 30 + -24 = 6
3n = 6

Divide each side by '3'.
n = 2

Simplifying
n = 2

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