2(3n+1)=8(4n+1)+6

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Solution for 2(3n+1)=8(4n+1)+6 equation: 


Simplifying
2(3n + 1) = 8(4n + 1) + 6

Reorder the terms:
2(1 + 3n) = 8(4n + 1) + 6
(1 * 2 + 3n * 2) = 8(4n + 1) + 6
(2 + 6n) = 8(4n + 1) + 6

Reorder the terms:
2 + 6n = 8(1 + 4n) + 6
2 + 6n = (1 * 8 + 4n * 8) + 6
2 + 6n = (8 + 32n) + 6

Reorder the terms:
2 + 6n = 8 + 6 + 32n

Combine like terms: 8 + 6 = 14
2 + 6n = 14 + 32n

Solving
2 + 6n = 14 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
2 + 6n + -32n = 14 + 32n + -32n

Combine like terms: 6n + -32n = -26n
2 + -26n = 14 + 32n + -32n

Combine like terms: 32n + -32n = 0
2 + -26n = 14 + 0
2 + -26n = 14

Add '-2' to each side of the equation.
2 + -2 + -26n = 14 + -2

Combine like terms: 2 + -2 = 0
0 + -26n = 14 + -2
-26n = 14 + -2

Combine like terms: 14 + -2 = 12
-26n = 12

Divide each side by '-26'.
n = -0.4615384615

Simplifying
n = -0.4615384615

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