Simplify 21-8(v+3)+3+7v

$21 - 8 (v + 3) + 3 + 7 v$

Step 1

Simplify each term.

Apply the distributive property.

$21 - 8 v - 8 \cdot 3 + 3 + 7 v$

Multiply $- 8$ by $3$ .

$21 - 8 v - 24 + 3 + 7 v$

Step 2

Simplify by adding terms.

Subtract $24$ from $21$ .

$- 8 v - 3 + 3 + 7 v$

Combine the opposite terms in $- 8 v - 3 + 3 + 7 v$ .

Add $- 3$ and $3$ .

$- 8 v + 0 + 7 v$

Add $- 8 v$ and $0$ .

$- 8 v + 7 v$

Add $- 8 v$ and $7 v$ .

$- v$