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

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


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

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

Reorder the terms:
24 + 12n = 8(2 + 8n) + 6
24 + 12n = (2 * 8 + 8n * 8) + 6
24 + 12n = (16 + 64n) + 6

Reorder the terms:
24 + 12n = 16 + 6 + 64n

Combine like terms: 16 + 6 = 22
24 + 12n = 22 + 64n

Solving
24 + 12n = 22 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
24 + 12n + -64n = 22 + 64n + -64n

Combine like terms: 12n + -64n = -52n
24 + -52n = 22 + 64n + -64n

Combine like terms: 64n + -64n = 0
24 + -52n = 22 + 0
24 + -52n = 22

Add '-24' to each side of the equation.
24 + -24 + -52n = 22 + -24

Combine like terms: 24 + -24 = 0
0 + -52n = 22 + -24
-52n = 22 + -24

Combine like terms: 22 + -24 = -2
-52n = -2

Divide each side by '-52'.
n = 0.03846153846

Simplifying
n = 0.03846153846

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