4n+22=8n-10

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Solution for 4n+22=8n-10 equation:


Simplifying
4n + 22 = 8n + -10

Reorder the terms:
22 + 4n = 8n + -10

Reorder the terms:
22 + 4n = -10 + 8n

Solving
22 + 4n = -10 + 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.
22 + 4n + -8n = -10 + 8n + -8n

Combine like terms: 4n + -8n = -4n
22 + -4n = -10 + 8n + -8n

Combine like terms: 8n + -8n = 0
22 + -4n = -10 + 0
22 + -4n = -10

Add '-22' to each side of the equation.
22 + -22 + -4n = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -4n = -10 + -22
-4n = -10 + -22

Combine like terms: -10 + -22 = -32
-4n = -32

Divide each side by '-4'.
n = 8

Simplifying
n = 8

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