QUESTION IMAGE
Question
- -4 + 7z + 3 - 2z
5z - 7
- 2d + 17 - 3 - 2d + 4d
4d - 20
- 8(2k + 1 + 3k)
5k + 8
- -4 + 8p - 6p - 5 + 20p
Response
Problem 9 (assuming the first one is 9, maybe a typo)
Step1: Combine constant terms
\(-4 + 3 = -1\)
Step2: Combine z terms
\(7z - 2z = 5z\)
Step3: Combine results
\(5z - 1\) (Note: The original handwritten answer \(5z - 7\) is incorrect. Correct is \(5z - 1\))
Step1: Combine constant terms
\(17 - 3 = 14\)
Step2: Combine d terms
\(2d - 2d + 4d = 4d\)
Step3: Combine results
\(4d + 14\) (Note: The original handwritten answer \(4d - 20\) is incorrect. Correct is \(4d + 14\))
Step1: Combine k terms inside parentheses
\(2k + 3k = 5k\)
Step2: Distribute 8
\(8(5k + 1) = 40k + 8\) (Note: The original handwritten answer \(5k + 8\) is incorrect. Correct is \(40k + 8\))
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\(5z - 1\)