Final answer:
To simplify the expression 8(10 - 6q) + 3(7q - 2), distribute each term inside the parentheses and combine like terms to get 74 - 27q.
Step-by-step explanation:
To simplify the expression 8(10 - 6q) + 3(7q - 2), we can use the distributive property of multiplication. First, distribute the 8 to each term inside the parentheses:
8 * 10 - 8 * 6q + 3(7q - 2)
Next, distribute the 3 to each term inside the parentheses:
8 * 10 - 8 * 6q + 3 * 7q - 3 * 2
Now we can simplify each term:
80 - 48q + 21q - 6
Combine like terms:
80 - 27q - 6
Finally, combine the constant terms:
74 - 27q