6n-5=-3n+22

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Solution for 6n-5=-3n+22 equation:


Simplifying
6n + -5 = -3n + 22

Reorder the terms:
-5 + 6n = -3n + 22

Reorder the terms:
-5 + 6n = 22 + -3n

Solving
-5 + 6n = 22 + -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.
-5 + 6n + 3n = 22 + -3n + 3n

Combine like terms: 6n + 3n = 9n
-5 + 9n = 22 + -3n + 3n

Combine like terms: -3n + 3n = 0
-5 + 9n = 22 + 0
-5 + 9n = 22

Add '5' to each side of the equation.
-5 + 5 + 9n = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 9n = 22 + 5
9n = 22 + 5

Combine like terms: 22 + 5 = 27
9n = 27

Divide each side by '9'.
n = 3

Simplifying
n = 3

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