3(2n+4)=6(5n+1)+8

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Solution for 3(2n+4)=6(5n+1)+8 equation: 


Simplifying
3(2n + 4) = 6(5n + 1) + 8

Reorder the terms:
3(4 + 2n) = 6(5n + 1) + 8
(4 * 3 + 2n * 3) = 6(5n + 1) + 8
(12 + 6n) = 6(5n + 1) + 8

Reorder the terms:
12 + 6n = 6(1 + 5n) + 8
12 + 6n = (1 * 6 + 5n * 6) + 8
12 + 6n = (6 + 30n) + 8

Reorder the terms:
12 + 6n = 6 + 8 + 30n

Combine like terms: 6 + 8 = 14
12 + 6n = 14 + 30n

Solving
12 + 6n = 14 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
12 + 6n + -30n = 14 + 30n + -30n

Combine like terms: 6n + -30n = -24n
12 + -24n = 14 + 30n + -30n

Combine like terms: 30n + -30n = 0
12 + -24n = 14 + 0
12 + -24n = 14

Add '-12' to each side of the equation.
12 + -12 + -24n = 14 + -12

Combine like terms: 12 + -12 = 0
0 + -24n = 14 + -12
-24n = 14 + -12

Combine like terms: 14 + -12 = 2
-24n = 2

Divide each side by '-24'.
n = -0.08333333333

Simplifying
n = -0.08333333333

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