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

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


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

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

Reorder the terms:
2 + 6n = 6(3 + 6n) + 2
2 + 6n = (3 * 6 + 6n * 6) + 2
2 + 6n = (18 + 36n) + 2

Reorder the terms:
2 + 6n = 18 + 2 + 36n

Combine like terms: 18 + 2 = 20
2 + 6n = 20 + 36n

Solving
2 + 6n = 20 + 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.
2 + 6n + -36n = 20 + 36n + -36n

Combine like terms: 6n + -36n = -30n
2 + -30n = 20 + 36n + -36n

Combine like terms: 36n + -36n = 0
2 + -30n = 20 + 0
2 + -30n = 20

Add '-2' to each side of the equation.
2 + -2 + -30n = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -30n = 20 + -2
-30n = 20 + -2

Combine like terms: 20 + -2 = 18
-30n = 18

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

Simplifying
n = -0.6

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