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

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


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

Reorder the terms:
6(4 + 2n) = 8(5n + 1) + 4
(4 * 6 + 2n * 6) = 8(5n + 1) + 4
(24 + 12n) = 8(5n + 1) + 4

Reorder the terms:
24 + 12n = 8(1 + 5n) + 4
24 + 12n = (1 * 8 + 5n * 8) + 4
24 + 12n = (8 + 40n) + 4

Reorder the terms:
24 + 12n = 8 + 4 + 40n

Combine like terms: 8 + 4 = 12
24 + 12n = 12 + 40n

Solving
24 + 12n = 12 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
24 + 12n + -40n = 12 + 40n + -40n

Combine like terms: 12n + -40n = -28n
24 + -28n = 12 + 40n + -40n

Combine like terms: 40n + -40n = 0
24 + -28n = 12 + 0
24 + -28n = 12

Add '-24' to each side of the equation.
24 + -24 + -28n = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -28n = 12 + -24
-28n = 12 + -24

Combine like terms: 12 + -24 = -12
-28n = -12

Divide each side by '-28'.
n = 0.4285714286

Simplifying
n = 0.4285714286

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