Expand the Trigonometric Expression 3n+2(-2n-1)

$3 n + 2 (- 2 n - 1)$

Step 1

Simplify each term.

Apply the distributive property.

$3 n + 2 (- 2 n) + 2 \cdot - 1$

Multiply $- 2$ by $2$ .

$3 n - 4 n + 2 \cdot - 1$

Multiply $2$ by $- 1$ .

$3 n - 4 n - 2$

Step 2

Subtract $4 n$ from $3 n$ .

$- n - 2$