## Algebra 1

$k= -20$
Original problem: $\frac{8}{k}$ = -$\frac{12}{30}$ In this problem, the variable we are looking for is k. In order to isolate and solve for k, we must cross multiply. The first step in this process can be done by multiplying the numerator of the left side of the fraction, 8, with the denominator of the right side of the fraction, 30: $8 * 30 = 240$ Now, we must equate 240 with the product of the other part of the original equation. $240 = k * -12$ In order to fully isolate k, divide the right side by -12 to cancel it out. $\frac{240}{-12}$ = $k$ Finally, solve to find the value of k. $k = -20$