Simplify 5(8+m)+2(7+7m)

$5 (8 + m) + 2 (7 + 7 m)$

Step 1

Simplify each term.

Apply the distributive property.

$5 \cdot 8 + 5 m + 2 (7 + 7 m)$

Multiply $5$ by $8$ .

$40 + 5 m + 2 (7 + 7 m)$

Apply the distributive property.

$40 + 5 m + 2 \cdot 7 + 2 (7 m)$

Multiply $2$ by $7$ .

$40 + 5 m + 14 + 2 (7 m)$

Multiply $7$ by $2$ .

$40 + 5 m + 14 + 14 m$

$40 + 5 m + 14 + 14 m$

Step 2

Simplify by adding terms.

Add $40$ and $14$ .

$5 m + 54 + 14 m$

Add $5 m$ and $14 m$ .

$19 m + 54$

$19 m + 54$

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