Solve (1-85%)*2N=8.4

$$( 1 - 85 \% ) \times 2 N = 8.4$$

Solve for N

$$N=28$$

Steps for Solving Linear Equation

Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\left(1-\frac{17}{20}\right)\times 2N=8.4$$

Convert 1 to fraction \frac{20}{20}.

$$\left(\frac{20}{20}-\frac{17}{20}\right)\times 2N=8.4$$

Since \frac{20}{20} and \frac{17}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-17}{20}\times 2N=8.4$$

Subtract 17 from 20 to get 3.

$$\frac{3}{20}\times 2N=8.4$$

Express \frac{3}{20}\times 2 as a single fraction.

$$\frac{3\times 2}{20}N=8.4$$

Multiply 3 and 2 to get 6.

$$\frac{6}{20}N=8.4$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}N=8.4$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$N=8.4\times \frac{10}{3}$$

Convert decimal number 8.4 to fraction \frac{84}{10}. Reduce the fraction \frac{84}{10} to lowest terms by extracting and canceling out 2.

$$N=\frac{42}{5}\times \frac{10}{3}$$

Multiply \frac{42}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$N=\frac{42\times 10}{5\times 3}$$

Do the multiplications in the fraction \frac{42\times 10}{5\times 3}.

$$N=\frac{420}{15}$$

Divide 420 by 15 to get 28.

$$N=28$$