3(n+4)=38+2n

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


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

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

Solving
12 + 3n = 38 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
12 + 3n + -2n = 38 + 2n + -2n

Combine like terms: 3n + -2n = 1n
12 + 1n = 38 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + 1n = 38 + 0
12 + 1n = 38

Add '-12' to each side of the equation.
12 + -12 + 1n = 38 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 38 + -12
1n = 38 + -12

Combine like terms: 38 + -12 = 26
1n = 26

Divide each side by '1'.
n = 26

Simplifying
n = 26

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