0.13n+0.07(5700-n)=0.08(5700)

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Solution for 0.13n+0.07(5700-n)=0.08(5700) equation:


Simplifying
0.13n + 0.07(5700 + -1n) = 0.08(5700)
0.13n + (5700 * 0.07 + -1n * 0.07) = 0.08(5700)
0.13n + (399 + -0.07n) = 0.08(5700)

Reorder the terms:
399 + 0.13n + -0.07n = 0.08(5700)

Combine like terms: 0.13n + -0.07n = 0.06n
399 + 0.06n = 0.08(5700)

Multiply 0.08 * 5700
399 + 0.06n = 456

Solving
399 + 0.06n = 456

Solving for variable 'n'.

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

Add '-399' to each side of the equation.
399 + -399 + 0.06n = 456 + -399

Combine like terms: 399 + -399 = 0
0 + 0.06n = 456 + -399
0.06n = 456 + -399

Combine like terms: 456 + -399 = 57
0.06n = 57

Divide each side by '0.06'.
n = 950

Simplifying
n = 950

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