Multiplication and Division of Signed Mumbers: Complete the equation

$-6\cdot6:-3:?=24$

Let's write the exercise in the following form:

$\frac{-6\times6}{-3}:?=24$

We'll factor the 6 in the numerator into a multiplication exercise:

$\frac{-3\times2\times6}{-3}:?=24$

We'll cancel out the minus 3 found in the numerator and denominator of the fraction and get:

$12:?=24$

We'll multiply the question mark:

$12=24\times?$

We'll divide by 24:

$\frac{12}{24}=?$

We'll factor 24 into a multiplication exercise:

$\frac{12}{12\times2}=\text{?}$

We'll cancel out the 12 in the numerator and denominator of the fraction:

$\frac{1}{2}=\text{?}$

$\frac{1}{2}$

$?:-12\cdot8=-24$

Let's factor 24 into a multiplication exercise:

$?:-12\times8=-8\times3$

We'll simplify the 8 in both terms and get:

$?:-12=-3$

Let's multiply by negative 12:

$\frac{?}{-12}\times-12=-3\times-12$

We'll simplify between negative 12 and get:

$?=-3\times-12$

Let's note that we are multiplying two negative numbers, so the result will necessarily be a positive number:

$?=+36$

$36$

$20:?\cdot-4=-80$

$1$

$-9\cdot-7:?=-3$

$-21$

$\frac{\text{?}}{-4}\cdot38:-9=-5$

$-\frac{90}{19}$