4n-6=-3n+22

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Solution for 4n-6=-3n+22 equation:


Simplifying
4n + -6 = -3n + 22

Reorder the terms:
-6 + 4n = -3n + 22

Reorder the terms:
-6 + 4n = 22 + -3n

Solving
-6 + 4n = 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.
-6 + 4n + 3n = 22 + -3n + 3n

Combine like terms: 4n + 3n = 7n
-6 + 7n = 22 + -3n + 3n

Combine like terms: -3n + 3n = 0
-6 + 7n = 22 + 0
-6 + 7n = 22

Add '6' to each side of the equation.
-6 + 6 + 7n = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 7n = 22 + 6
7n = 22 + 6

Combine like terms: 22 + 6 = 28
7n = 28

Divide each side by '7'.
n = 4

Simplifying
n = 4

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