Expand the Trigonometric Expression -r+8(-5r-2)

$- r + 8 (- 5 r - 2)$

Step 1

Simplify each term.

Apply the distributive property.

$- r + 8 (- 5 r) + 8 \cdot - 2$

Multiply $- 5$ by $8$ .

$- r - 40 r + 8 \cdot - 2$

Multiply $8$ by $- 2$ .

$- r - 40 r - 16$

Step 2

Subtract $40 r$ from $- r$ .

$- 41 r - 16$