Simplify -10(u+v)+8(u-1)-3(u+6)

$- 10 (u + v) + 8 (u - 1) - 3 (u + 6)$

Step 1

Simplify each term.

Apply the distributive property.

$- 10 u - 10 v + 8 (u - 1) - 3 (u + 6)$

Apply the distributive property.

$- 10 u - 10 v + 8 u + 8 \cdot - 1 - 3 (u + 6)$

Multiply $8$ by $- 1$ .

$- 10 u - 10 v + 8 u - 8 - 3 (u + 6)$

Apply the distributive property.

$- 10 u - 10 v + 8 u - 8 - 3 u - 3 \cdot 6$

Multiply $- 3$ by $6$ .

$- 10 u - 10 v + 8 u - 8 - 3 u - 18$

$- 10 u - 10 v + 8 u - 8 - 3 u - 18$

Step 2

Simplify by adding terms.

Add $- 10 u$ and $8 u$ .

$- 2 u - 10 v - 8 - 3 u - 18$

Subtract $3 u$ from $- 2 u$ .

$- 5 u - 10 v - 8 - 18$

Subtract $18$ from $- 8$ .

$- 5 u - 10 v - 26$

$- 5 u - 10 v - 26$

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