17+4n+5=8n-3n+21

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Solution for 17+4n+5=8n-3n+21 equation:


Simplifying
17 + 4n + 5 = 8n + -3n + 21

Reorder the terms:
17 + 5 + 4n = 8n + -3n + 21

Combine like terms: 17 + 5 = 22
22 + 4n = 8n + -3n + 21

Reorder the terms:
22 + 4n = 21 + 8n + -3n

Combine like terms: 8n + -3n = 5n
22 + 4n = 21 + 5n

Solving
22 + 4n = 21 + 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.
22 + 4n + -5n = 21 + 5n + -5n

Combine like terms: 4n + -5n = -1n
22 + -1n = 21 + 5n + -5n

Combine like terms: 5n + -5n = 0
22 + -1n = 21 + 0
22 + -1n = 21

Add '-22' to each side of the equation.
22 + -22 + -1n = 21 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 21 + -22
-1n = 21 + -22

Combine like terms: 21 + -22 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1

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