Evaluate 5(10k+1)+2(2+8K)

$5 (10 k + 1) + 2 (2 + 8 K)$

Step 1

Simplify each term.

Apply the distributive property.

$5 (10 k) + 5 \cdot 1 + 2 (2 + 8 K)$

Multiply $10$ by $5$ .

$50 k + 5 \cdot 1 + 2 (2 + 8 K)$

Multiply $5$ by $1$ .

$50 k + 5 + 2 (2 + 8 K)$

Apply the distributive property.

$50 k + 5 + 2 \cdot 2 + 2 (8 K)$

Multiply $2$ by $2$ .

$50 k + 5 + 4 + 2 (8 K)$

Multiply $8$ by $2$ .

$50 k + 5 + 4 + 16 K$

$50 k + 5 + 4 + 16 K$

Step 2

Add $5$ and $4$ .

$50 k + 9 + 16 K$

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