10n-22=8n-14

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Solution for 10n-22=8n-14 equation:


Simplifying
10n + -22 = 8n + -14

Reorder the terms:
-22 + 10n = 8n + -14

Reorder the terms:
-22 + 10n = -14 + 8n

Solving
-22 + 10n = -14 + 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 + 10n + -8n = -14 + 8n + -8n

Combine like terms: 10n + -8n = 2n
-22 + 2n = -14 + 8n + -8n

Combine like terms: 8n + -8n = 0
-22 + 2n = -14 + 0
-22 + 2n = -14

Add '22' to each side of the equation.
-22 + 22 + 2n = -14 + 22

Combine like terms: -22 + 22 = 0
0 + 2n = -14 + 22
2n = -14 + 22

Combine like terms: -14 + 22 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4

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