Question

9. Write an equivalent expression to 8k - (5 + 2k) without parentheses.

Then simplify.
8k - (5 + 2k) = 8k
5
2k
= 8k
2x
5

Answer 1

To eliminate the parentheses in the expression 8k - (5 + 2k) and simplify it, distribute the negative sign across the terms inside the parentheses and combine like terms to get 6k - 5.

Step-by-step explanation:

To write the expression 8k - (5 + 2k) without parentheses and simplify it, we need to distribute the negative sign across the terms inside the parentheses. Let's break this down step by step:

1. First, distribute the negative sign to both terms inside the parentheses: 8k - 5 - 2k.
2. Next, combine like terms by adding or subtracting the coefficients of k: 8k - 2k - 5.
3. The coefficients of k (8 and -2) combine to give 6k, so the expression simplifies to 6k - 5.

So, the equivalent expression without parentheses is 6k - 5.

Answer 2

8k - 5 -2k = 6k -5

Step-by-step explanation: