Simplify 6 (3q —4) + 18 —12q — 7(4q + 5)
To simplify the expression, we need to simplify each term and then combine like terms.
Starting with the first term:
6(3q — 4) can be simplified by multiplying 6 by each term inside the parentheses:
= 18q - 24
Next, simplifying the second term gives us:
18 - 12q is already simplified.
Moving on to the third term:
-7(4q + 5) can be simplified by distributing -7 to each term inside the parentheses:
= -28q - 35
Now, we can combine the simplified terms:
18q - 24 + 18 - 12q - 28q - 35
Combining like terms, we have:
(18q - 12q - 28q) + (-24 + 18 - 35)
= -22q - 41