Solve -n/1.6+7.9=8.4

$$- \frac { n } { 1.6 } + 7.9 = 8.4$$

Solve for n

$$n=-0.8$$

Steps for Solving Linear Equation

Subtract 7.9 from both sides.

$$-\frac{n}{1.6}=8.4-7.9$$

Subtract 7.9 from 8.4 to get 0.5.

$$-\frac{n}{1.6}=0.5$$

Divide both sides by -1.

$$\frac{n}{1.6}=\frac{0.5}{-1}$$

Expand \frac{0.5}{-1} by multiplying both numerator and the denominator by 10.

$$\frac{n}{1.6}=\frac{5}{-10}$$

Reduce the fraction \frac{5}{-10} to lowest terms by extracting and canceling out 5.

$$\frac{n}{1.6}=-\frac{1}{2}$$

Multiply both sides by 1.6.

$$n=-\frac{1}{2}\times 1.6$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$n=-\frac{1}{2}\times \frac{8}{5}$$

Multiply -\frac{1}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{-8}{2\times 5}$$

Do the multiplications in the fraction \frac{-8}{2\times 5}.

$$n=\frac{-8}{10}$$

Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.

$$n=-\frac{4}{5}$$