-8n+4(-5+5n)=2+6n+14

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Solution for -8n+4(-5+5n)=2+6n+14 equation:


Simplifying
-8n + 4(-5 + 5n) = 2 + 6n + 14
-8n + (-5 * 4 + 5n * 4) = 2 + 6n + 14
-8n + (-20 + 20n) = 2 + 6n + 14

Reorder the terms:
-20 + -8n + 20n = 2 + 6n + 14

Combine like terms: -8n + 20n = 12n
-20 + 12n = 2 + 6n + 14

Reorder the terms:
-20 + 12n = 2 + 14 + 6n

Combine like terms: 2 + 14 = 16
-20 + 12n = 16 + 6n

Solving
-20 + 12n = 16 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
-20 + 12n + -6n = 16 + 6n + -6n

Combine like terms: 12n + -6n = 6n
-20 + 6n = 16 + 6n + -6n

Combine like terms: 6n + -6n = 0
-20 + 6n = 16 + 0
-20 + 6n = 16

Add '20' to each side of the equation.
-20 + 20 + 6n = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 6n = 16 + 20
6n = 16 + 20

Combine like terms: 16 + 20 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6

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