Simplify 3(q-2r)+6r-8(-6r-2q)

$3 (q - 2 r) + 6 r - 8 (- 6 r - 2 q)$

Simplify each term.

Apply the distributive property.

$3 q + 3 (- 2 r) + 6 r - 8 (- 6 r - 2 q)$

Multiply $- 2$ by $3$ .

$3 q - 6 r + 6 r - 8 (- 6 r - 2 q)$

Apply the distributive property.

$3 q - 6 r + 6 r - 8 (- 6 r) - 8 (- 2 q)$

Multiply $- 6$ by $- 8$ .

$3 q - 6 r + 6 r + 48 r - 8 (- 2 q)$

Multiply $- 2$ by $- 8$ .

$3 q - 6 r + 6 r + 48 r + 16 q$

Simplify by adding terms.

Combine the opposite terms in $3 q - 6 r + 6 r + 48 r + 16 q$ .

Add $- 6 r$ and $6 r$ .

$3 q + 0 + 48 r + 16 q$

Add $3 q$ and $0$ .

$3 q + 48 r + 16 q$

Add $3 q$ and $16 q$ .

$19 q + 48 r$