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

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


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

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

Reorder the terms:
2 + 4n = 6(8 + 3n) + 6
2 + 4n = (8 * 6 + 3n * 6) + 6
2 + 4n = (48 + 18n) + 6

Reorder the terms:
2 + 4n = 48 + 6 + 18n

Combine like terms: 48 + 6 = 54
2 + 4n = 54 + 18n

Solving
2 + 4n = 54 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
2 + 4n + -18n = 54 + 18n + -18n

Combine like terms: 4n + -18n = -14n
2 + -14n = 54 + 18n + -18n

Combine like terms: 18n + -18n = 0
2 + -14n = 54 + 0
2 + -14n = 54

Add '-2' to each side of the equation.
2 + -2 + -14n = 54 + -2

Combine like terms: 2 + -2 = 0
0 + -14n = 54 + -2
-14n = 54 + -2

Combine like terms: 54 + -2 = 52
-14n = 52

Divide each side by '-14'.
n = -3.714285714

Simplifying
n = -3.714285714

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