6n+5=2(2n+9)

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Solution for 6n+5=2(2n+9) equation:


Simplifying
6n + 5 = 2(2n + 9)

Reorder the terms:
5 + 6n = 2(2n + 9)

Reorder the terms:
5 + 6n = 2(9 + 2n)
5 + 6n = (9 * 2 + 2n * 2)
5 + 6n = (18 + 4n)

Solving
5 + 6n = 18 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
5 + 6n + -4n = 18 + 4n + -4n

Combine like terms: 6n + -4n = 2n
5 + 2n = 18 + 4n + -4n

Combine like terms: 4n + -4n = 0
5 + 2n = 18 + 0
5 + 2n = 18

Add '-5' to each side of the equation.
5 + -5 + 2n = 18 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 18 + -5
2n = 18 + -5

Combine like terms: 18 + -5 = 13
2n = 13

Divide each side by '2'.
n = 6.5

Simplifying
n = 6.5

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