10-4n=8n-14

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Solution for 10-4n=8n-14 equation:


Simplifying
10 + -4n = 8n + -14

Reorder the terms:
10 + -4n = -14 + 8n

Solving
10 + -4n = -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.
10 + -4n + -8n = -14 + 8n + -8n

Combine like terms: -4n + -8n = -12n
10 + -12n = -14 + 8n + -8n

Combine like terms: 8n + -8n = 0
10 + -12n = -14 + 0
10 + -12n = -14

Add '-10' to each side of the equation.
10 + -10 + -12n = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -12n = -14 + -10
-12n = -14 + -10

Combine like terms: -14 + -10 = -24
-12n = -24

Divide each side by '-12'.
n = 2

Simplifying
n = 2

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