22-3n-5=7n+5-4n

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Solution for 22-3n-5=7n+5-4n equation: 


Simplifying
22 + -3n + -5 = 7n + 5 + -4n

Reorder the terms:
22 + -5 + -3n = 7n + 5 + -4n

Combine like terms: 22 + -5 = 17
17 + -3n = 7n + 5 + -4n

Reorder the terms:
17 + -3n = 5 + 7n + -4n

Combine like terms: 7n + -4n = 3n
17 + -3n = 5 + 3n

Solving
17 + -3n = 5 + 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.
17 + -3n + -3n = 5 + 3n + -3n

Combine like terms: -3n + -3n = -6n
17 + -6n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
17 + -6n = 5 + 0
17 + -6n = 5

Add '-17' to each side of the equation.
17 + -17 + -6n = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -6n = 5 + -17
-6n = 5 + -17

Combine like terms: 5 + -17 = -12
-6n = -12

Divide each side by '-6'.
n = 2

Simplifying
n = 2

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