Simplify -7(2u-6v)-7v-3(10v+u)

$- 7 (2 u - 6 v) - 7 v - 3 (10 v + u)$

Simplify each term.

Apply the distributive property.

$- 7 (2 u) - 7 (- 6 v) - 7 v - 3 (10 v + u)$

Multiply $2$ by $- 7$ .

$- 14 u - 7 (- 6 v) - 7 v - 3 (10 v + u)$

Multiply $- 6$ by $- 7$ .

$- 14 u + 42 v - 7 v - 3 (10 v + u)$

Apply the distributive property.

$- 14 u + 42 v - 7 v - 3 (10 v) - 3 u$

Multiply $10$ by $- 3$ .

$- 14 u + 42 v - 7 v - 30 v - 3 u$

$- 14 u + 42 v - 7 v - 30 v - 3 u$

Simplify by adding terms.

Subtract $3 u$ from $- 14 u$ .

$- 17 u + 42 v - 7 v - 30 v$

Subtract $7 v$ from $42 v$ .

$- 17 u + 35 v - 30 v$

Subtract $30 v$ from $35 v$ .

$- 17 u + 5 v$

$- 17 u + 5 v$

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