0.333(n-3)=15-(n-8)

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Solution for 0.333(n-3)=15-(n-8) equation: 


Simplifying
0.333(n + -3) = 15 + -1(n + -8)

Reorder the terms:
0.333(-3 + n) = 15 + -1(n + -8)
(-3 * 0.333 + n * 0.333) = 15 + -1(n + -8)
(-0.999 + 0.333n) = 15 + -1(n + -8)

Reorder the terms:
-0.999 + 0.333n = 15 + -1(-8 + n)
-0.999 + 0.333n = 15 + (-8 * -1 + n * -1)
-0.999 + 0.333n = 15 + (8 + -1n)

Combine like terms: 15 + 8 = 23
-0.999 + 0.333n = 23 + -1n

Solving
-0.999 + 0.333n = 23 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-0.999 + 0.333n + n = 23 + -1n + n

Combine like terms: 0.333n + n = 1.333n
-0.999 + 1.333n = 23 + -1n + n

Combine like terms: -1n + n = 0
-0.999 + 1.333n = 23 + 0
-0.999 + 1.333n = 23

Add '0.999' to each side of the equation.
-0.999 + 0.999 + 1.333n = 23 + 0.999

Combine like terms: -0.999 + 0.999 = 0.000
0.000 + 1.333n = 23 + 0.999
1.333n = 23 + 0.999

Combine like terms: 23 + 0.999 = 23.999
1.333n = 23.999

Divide each side by '1.333'.
n = 18.00375094

Simplifying
n = 18.00375094

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