4n+6=8n-22

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Solution for 4n+6=8n-22 equation:


Simplifying
4n + 6 = 8n + -22

Reorder the terms:
6 + 4n = 8n + -22

Reorder the terms:
6 + 4n = -22 + 8n

Solving
6 + 4n = -22 + 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.
6 + 4n + -8n = -22 + 8n + -8n

Combine like terms: 4n + -8n = -4n
6 + -4n = -22 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -4n = -22 + 0
6 + -4n = -22

Add '-6' to each side of the equation.
6 + -6 + -4n = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -4n = -22 + -6
-4n = -22 + -6

Combine like terms: -22 + -6 = -28
-4n = -28

Divide each side by '-4'.
n = 7

Simplifying
n = 7

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