3n+24+5n=4n+59-n

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Solution for 3n+24+5n=4n+59-n equation:


Simplifying
3n + 24 + 5n = 4n + 59 + -1n

Reorder the terms:
24 + 3n + 5n = 4n + 59 + -1n

Combine like terms: 3n + 5n = 8n
24 + 8n = 4n + 59 + -1n

Reorder the terms:
24 + 8n = 59 + 4n + -1n

Combine like terms: 4n + -1n = 3n
24 + 8n = 59 + 3n

Solving
24 + 8n = 59 + 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.
24 + 8n + -3n = 59 + 3n + -3n

Combine like terms: 8n + -3n = 5n
24 + 5n = 59 + 3n + -3n

Combine like terms: 3n + -3n = 0
24 + 5n = 59 + 0
24 + 5n = 59

Add '-24' to each side of the equation.
24 + -24 + 5n = 59 + -24

Combine like terms: 24 + -24 = 0
0 + 5n = 59 + -24
5n = 59 + -24

Combine like terms: 59 + -24 = 35
5n = 35

Divide each side by '5'.
n = 7

Simplifying
n = 7

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