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

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


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

Reorder the terms:
2(1 + 8n) = -2 + 6(2n + 8)
(1 * 2 + 8n * 2) = -2 + 6(2n + 8)
(2 + 16n) = -2 + 6(2n + 8)

Reorder the terms:
2 + 16n = -2 + 6(8 + 2n)
2 + 16n = -2 + (8 * 6 + 2n * 6)
2 + 16n = -2 + (48 + 12n)

Combine like terms: -2 + 48 = 46
2 + 16n = 46 + 12n

Solving
2 + 16n = 46 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
2 + 16n + -12n = 46 + 12n + -12n

Combine like terms: 16n + -12n = 4n
2 + 4n = 46 + 12n + -12n

Combine like terms: 12n + -12n = 0
2 + 4n = 46 + 0
2 + 4n = 46

Add '-2' to each side of the equation.
2 + -2 + 4n = 46 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 46 + -2
4n = 46 + -2

Combine like terms: 46 + -2 = 44
4n = 44

Divide each side by '4'.
n = 11

Simplifying
n = 11

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