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

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


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

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

Reorder the terms:
2 + 4n = 6(6 + 4n) + 3
2 + 4n = (6 * 6 + 4n * 6) + 3
2 + 4n = (36 + 24n) + 3

Reorder the terms:
2 + 4n = 36 + 3 + 24n

Combine like terms: 36 + 3 = 39
2 + 4n = 39 + 24n

Solving
2 + 4n = 39 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
2 + 4n + -24n = 39 + 24n + -24n

Combine like terms: 4n + -24n = -20n
2 + -20n = 39 + 24n + -24n

Combine like terms: 24n + -24n = 0
2 + -20n = 39 + 0
2 + -20n = 39

Add '-2' to each side of the equation.
2 + -2 + -20n = 39 + -2

Combine like terms: 2 + -2 = 0
0 + -20n = 39 + -2
-20n = 39 + -2

Combine like terms: 39 + -2 = 37
-20n = 37

Divide each side by '-20'.
n = -1.85

Simplifying
n = -1.85

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