.12n+.06(1800-n)=.08(1800)

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Solution for .12n+.06(1800-n)=.08(1800) equation:


Simplifying
0.12n + 0.06(1800 + -1n) = 0.08(1800)
0.12n + (1800 * 0.06 + -1n * 0.06) = 0.08(1800)
0.12n + (108 + -0.06n) = 0.08(1800)

Reorder the terms:
108 + 0.12n + -0.06n = 0.08(1800)

Combine like terms: 0.12n + -0.06n = 0.06n
108 + 0.06n = 0.08(1800)

Multiply 0.08 * 1800
108 + 0.06n = 144

Solving
108 + 0.06n = 144

Solving for variable 'n'.

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

Add '-108' to each side of the equation.
108 + -108 + 0.06n = 144 + -108

Combine like terms: 108 + -108 = 0
0 + 0.06n = 144 + -108
0.06n = 144 + -108

Combine like terms: 144 + -108 = 36
0.06n = 36

Divide each side by '0.06'.
n = 600

Simplifying
n = 600

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