3n+n+100=8n+24

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Solution for 3n+n+100=8n+24 equation:


Simplifying
3n + n + 100 = 8n + 24

Reorder the terms:
100 + 3n + n = 8n + 24

Combine like terms: 3n + n = 4n
100 + 4n = 8n + 24

Reorder the terms:
100 + 4n = 24 + 8n

Solving
100 + 4n = 24 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
100 + 4n + -8n = 24 + 8n + -8n

Combine like terms: 4n + -8n = -4n
100 + -4n = 24 + 8n + -8n

Combine like terms: 8n + -8n = 0
100 + -4n = 24 + 0
100 + -4n = 24

Add '-100' to each side of the equation.
100 + -100 + -4n = 24 + -100

Combine like terms: 100 + -100 = 0
0 + -4n = 24 + -100
-4n = 24 + -100

Combine like terms: 24 + -100 = -76
-4n = -76

Divide each side by '-4'.
n = 19

Simplifying
n = 19

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