Question

Simplify 6(3q−4)+18−12q−7(4q+5) .(1 point)

Answer 1

To simplify the expression 6(3q−4)+18−12q−7(4q+5), distribute the coefficients into the parentheses, combine like terms, and simplify to −22q − 41.

Step-by-step explanation:

The question involves simplifying the algebraic expression 6(3q−4)+18−12q−7(4q+5). Here's a step-by-step explanation of how to simplify it:

1. First, distribute the 6 into the first set of parentheses: 6 * 3q and 6 * −4, which gives us 18q − 24.
2. Next, distribute −7 into the second set of parentheses: −7 * 4q and −7 * 5, which gives us −28q − 35.
3. Combine the distributed terms with the other terms in the expression to get 18q − 24 + 18 − 12q − 28q − 35.
4. Now, combine like terms. The q-terms 18q − 12q − 28q combine to −22q, and the constant terms −24 + 18 − 35 combine to −41.
5. The simplified expression is −22q − 41.
6. Check the answer to see if it is reasonable by ensuring all like terms have been combined and the expression is as simple as possible.