Simplify 7(7+5m)+(m+6)*4

$7 (7 + 5 m) + (m + 6) \cdot 4$

Step 1

Simplify each term.

Apply the distributive property.

$7 \cdot 7 + 7 (5 m) + (m + 6) \cdot 4$

Multiply $7$ by $7$ .

$49 + 7 (5 m) + (m + 6) \cdot 4$

Multiply $5$ by $7$ .

$49 + 35 m + (m + 6) \cdot 4$

Apply the distributive property.

$49 + 35 m + m \cdot 4 + 6 \cdot 4$

Move $4$ to the left of $m$ .

$49 + 35 m + 4 \cdot m + 6 \cdot 4$

Multiply $6$ by $4$ .

$49 + 35 m + 4 m + 24$

$49 + 35 m + 4 m + 24$

Step 2

Simplify by adding terms.

Add $49$ and $24$ .

$35 m + 4 m + 73$

Add $35 m$ and $4 m$ .

$39 m + 73$

$39 m + 73$

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