0.66666667(n+6)=n+8

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Solution for 0.66666667(n+6)=n+8 equation:


Simplifying
0.66666667(n + 6) = n + 8

Reorder the terms:
0.66666667(6 + n) = n + 8
(6 * 0.66666667 + n * 0.66666667) = n + 8
(4.00000002 + 0.66666667n) = n + 8

Reorder the terms:
4.00000002 + 0.66666667n = 8 + n

Solving
4.00000002 + 0.66666667n = 8 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
4.00000002 + 0.66666667n + -1n = 8 + n + -1n

Combine like terms: 0.66666667n + -1n = -0.33333333n
4.00000002 + -0.33333333n = 8 + n + -1n

Combine like terms: n + -1n = 0
4.00000002 + -0.33333333n = 8 + 0
4.00000002 + -0.33333333n = 8

Add '-4.00000002' to each side of the equation.
4.00000002 + -4.00000002 + -0.33333333n = 8 + -4.00000002

Combine like terms: 4.00000002 + -4.00000002 = 0.00000000
0.00000000 + -0.33333333n = 8 + -4.00000002
-0.33333333n = 8 + -4.00000002

Combine like terms: 8 + -4.00000002 = 3.99999998
-0.33333333n = 3.99999998

Divide each side by '-0.33333333'.
n = -12.00000006

Simplifying
n = -12.00000006

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