Expand the Trigonometric Expression 2(3r+7)-(2+r)

$2 (3 r + 7) - (2 + r)$

Step 1

Simplify each term.

Apply the distributive property.

$2 (3 r) + 2 \cdot 7 - (2 + r)$

Multiply $3$ by $2$ .

$6 r + 2 \cdot 7 - (2 + r)$

Multiply $2$ by $7$ .

$6 r + 14 - (2 + r)$

Apply the distributive property.

$6 r + 14 - 1 \cdot 2 - r$

Multiply $- 1$ by $2$ .

$6 r + 14 - 2 - r$

Step 2

Simplify by adding terms.

Subtract $r$ from $6 r$ .

$5 r + 14 - 2$

Subtract $2$ from $14$ .

$5 r + 12$