3(2n+1)=6(6n+2)+9

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Solution for 3(2n+1)=6(6n+2)+9 equation:


Simplifying
3(2n + 1) = 6(6n + 2) + 9

Reorder the terms:
3(1 + 2n) = 6(6n + 2) + 9
(1 * 3 + 2n * 3) = 6(6n + 2) + 9
(3 + 6n) = 6(6n + 2) + 9

Reorder the terms:
3 + 6n = 6(2 + 6n) + 9
3 + 6n = (2 * 6 + 6n * 6) + 9
3 + 6n = (12 + 36n) + 9

Reorder the terms:
3 + 6n = 12 + 9 + 36n

Combine like terms: 12 + 9 = 21
3 + 6n = 21 + 36n

Solving
3 + 6n = 21 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
3 + 6n + -36n = 21 + 36n + -36n

Combine like terms: 6n + -36n = -30n
3 + -30n = 21 + 36n + -36n

Combine like terms: 36n + -36n = 0
3 + -30n = 21 + 0
3 + -30n = 21

Add '-3' to each side of the equation.
3 + -3 + -30n = 21 + -3

Combine like terms: 3 + -3 = 0
0 + -30n = 21 + -3
-30n = 21 + -3

Combine like terms: 21 + -3 = 18
-30n = 18

Divide each side by '-30'.
n = -0.6

Simplifying
n = -0.6

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