Question

Simplify to create an equivalent expression 8(10 - 6q) + 3(7q - 2 )

Answer 1

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