Simplify 7a(3b-2c+4)

$7 a (3 b - 2 c + 4)$

Step 1

Apply the distributive property.

$7 a (3 b) + 7 a (- 2 c) + 7 a \cdot 4$

Step 2

Simplify.

Rewrite using the commutative property of multiplication.

$7 \cdot 3 a b + 7 a (- 2 c) + 7 a \cdot 4$

Rewrite using the commutative property of multiplication.

$7 \cdot 3 a b + 7 \cdot - 2 a c + 7 a \cdot 4$

Multiply $4$ by $7$ .

$7 \cdot 3 a b + 7 \cdot - 2 a c + 28 a$

Step 3

Simplify each term.

Multiply $7$ by $3$ .

$21 a b + 7 \cdot - 2 a c + 28 a$

Multiply $7$ by $- 2$ .

$21 a b - 14 a c + 28 a$