0.14n+0.06(2800-n)=0.08(2800)

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Solution for 0.14n+0.06(2800-n)=0.08(2800) equation:


Simplifying
0.14n + 0.06(2800 + -1n) = 0.08(2800)
0.14n + (2800 * 0.06 + -1n * 0.06) = 0.08(2800)
0.14n + (168 + -0.06n) = 0.08(2800)

Reorder the terms:
168 + 0.14n + -0.06n = 0.08(2800)

Combine like terms: 0.14n + -0.06n = 0.08n
168 + 0.08n = 0.08(2800)

Multiply 0.08 * 2800
168 + 0.08n = 224

Solving
168 + 0.08n = 224

Solving for variable 'n'.

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

Add '-168' to each side of the equation.
168 + -168 + 0.08n = 224 + -168

Combine like terms: 168 + -168 = 0
0 + 0.08n = 224 + -168
0.08n = 224 + -168

Combine like terms: 224 + -168 = 56
0.08n = 56

Divide each side by '0.08'.
n = 700

Simplifying
n = 700

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