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

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


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

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

Reorder the terms:
2 + 4n = 8(8 + 4n) + 2
2 + 4n = (8 * 8 + 4n * 8) + 2
2 + 4n = (64 + 32n) + 2

Reorder the terms:
2 + 4n = 64 + 2 + 32n

Combine like terms: 64 + 2 = 66
2 + 4n = 66 + 32n

Solving
2 + 4n = 66 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
2 + 4n + -32n = 66 + 32n + -32n

Combine like terms: 4n + -32n = -28n
2 + -28n = 66 + 32n + -32n

Combine like terms: 32n + -32n = 0
2 + -28n = 66 + 0
2 + -28n = 66

Add '-2' to each side of the equation.
2 + -2 + -28n = 66 + -2

Combine like terms: 2 + -2 = 0
0 + -28n = 66 + -2
-28n = 66 + -2

Combine like terms: 66 + -2 = 64
-28n = 64

Divide each side by '-28'.
n = -2.285714286

Simplifying
n = -2.285714286

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