implify 6(3q−4)+18−12q−7(4q+5)

Question

.(1 point)

Answer 1

To simplify the expression $6(3q-4)+18-12q-7(4q+5)$, let's follow these steps:

1. Distribute the constants in front of the parentheses: $$6(3q)-6(4)+18-12q-7(4q)-7(5)$$ This gives us: $$18q-24+18-12q-28q-35$$

2. Combine like terms:

   • For the $q$ terms: $18q-12q-28q=(18-12-28)q=-22q$
   • For the constant terms: $-24+18-35=-24-17=-41$

3. Finally, we combine the results: $$-22q-41$$

So, the simplified expression is: $$\boxed{{\displaystyle -22q-41}}$$