0.15n+0.08(6650-n)=.09(6650)

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Solution for 0.15n+0.08(6650-n)=.09(6650) equation:


Simplifying
0.15n + 0.08(6650 + -1n) = 0.09(6650)
0.15n + (6650 * 0.08 + -1n * 0.08) = 0.09(6650)
0.15n + (532 + -0.08n) = 0.09(6650)

Reorder the terms:
532 + 0.15n + -0.08n = 0.09(6650)

Combine like terms: 0.15n + -0.08n = 0.07n
532 + 0.07n = 0.09(6650)

Multiply 0.09 * 6650
532 + 0.07n = 598.5

Solving
532 + 0.07n = 598.5

Solving for variable 'n'.

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

Add '-532' to each side of the equation.
532 + -532 + 0.07n = 598.5 + -532

Combine like terms: 532 + -532 = 0
0 + 0.07n = 598.5 + -532
0.07n = 598.5 + -532

Combine like terms: 598.5 + -532 = 66.5
0.07n = 66.5

Divide each side by '0.07'.
n = 950

Simplifying
n = 950

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