Simplify 8(k+m)-15(2k+5m)

$8 (k + m) - 15 (2 k + 5 m)$

Step 1

Simplify each term.

Apply the distributive property.

$8 k + 8 m - 15 (2 k + 5 m)$

Apply the distributive property.

$8 k + 8 m - 15 (2 k) - 15 (5 m)$

Multiply $2$ by $- 15$ .

$8 k + 8 m - 30 k - 15 (5 m)$

Multiply $5$ by $- 15$ .

$8 k + 8 m - 30 k - 75 m$

$8 k + 8 m - 30 k - 75 m$

Step 2

Simplify by adding terms.

Subtract $30 k$ from $8 k$ .

$- 22 k + 8 m - 75 m$

Subtract $75 m$ from $8 m$ .

$- 22 k - 67 m$

$- 22 k - 67 m$

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