Simplify (3-4|2(-3)|)/(|-3|)

$\frac{3 - 4 | 2 (- 3) |}{| - 3 |}$

Simplify the numerator.

Multiply $2$ by $- 3$ .

$\frac{3 - 4 | - 6 |}{| - 3 |}$

The absolute value is the distance between a number and zero. The distance between $- 6$ and $0$ is $6$ .

$\frac{3 - 4 \cdot 6}{| - 3 |}$

Multiply $- 4$ by $6$ .

$\frac{3 - 24}{| - 3 |}$

Subtract $24$ from $3$ .

$\frac{- 21}{| - 3 |}$

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$\frac{- 21}{3}$

Divide $- 21$ by $3$ .

$- 7$