2(3n+2)+7n=39+6n

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Solution for 2(3n+2)+7n=39+6n equation:


Simplifying
2(3n + 2) + 7n = 39 + 6n

Reorder the terms:
2(2 + 3n) + 7n = 39 + 6n
(2 * 2 + 3n * 2) + 7n = 39 + 6n
(4 + 6n) + 7n = 39 + 6n

Combine like terms: 6n + 7n = 13n
4 + 13n = 39 + 6n

Solving
4 + 13n = 39 + 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.
4 + 13n + -6n = 39 + 6n + -6n

Combine like terms: 13n + -6n = 7n
4 + 7n = 39 + 6n + -6n

Combine like terms: 6n + -6n = 0
4 + 7n = 39 + 0
4 + 7n = 39

Add '-4' to each side of the equation.
4 + -4 + 7n = 39 + -4

Combine like terms: 4 + -4 = 0
0 + 7n = 39 + -4
7n = 39 + -4

Combine like terms: 39 + -4 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5

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