3(4n+2)=38+8n

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Solution for 3(4n+2)=38+8n equation:


Simplifying
3(4n + 2) = 38 + 8n

Reorder the terms:
3(2 + 4n) = 38 + 8n
(2 * 3 + 4n * 3) = 38 + 8n
(6 + 12n) = 38 + 8n

Solving
6 + 12n = 38 + 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 + 12n + -8n = 38 + 8n + -8n

Combine like terms: 12n + -8n = 4n
6 + 4n = 38 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + 4n = 38 + 0
6 + 4n = 38

Add '-6' to each side of the equation.
6 + -6 + 4n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 38 + -6
4n = 38 + -6

Combine like terms: 38 + -6 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8

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