Question

Use the correct property and methods to simplify: 4k + 2(5k-2)-h. Now, let k=3 and h=2 and evaluate fill in the correct answer below and explain your steps.

Answer 1

Explanation:

To simplify the expression 4k + 2(5k - 2) - h, we can use the distributive property and combine like terms. Let's simplify step by step:

Step 1: Distribute the 2 to the terms inside the parentheses:

4k + 2(5k - 2) - h = 4k + (2 * 5k - 2 * 2) - h

Simplifying inside the parentheses:

4k + (10k - 4) - h

Step 2: Combine like terms:

Combining the terms with 'k':

4k + 10k - 4 - h

Simplifying further:

14k - 4 - h

Now, let's evaluate the expression for k = 3 and h = 2:

Substituting the values of k and h:

14(3) - 4 - 2

Evaluating multiplication and subtraction:

42 - 4 - 2

Performing subtraction:

36 - 2

Calculating the final result:

34

Therefore, when k = 3 and h = 2, the simplified expression 4k + 2(5k - 2) - h evaluates to 34.