Algebra-1

Question Analysis
This question tests the student's ability to solve an inequality with variables on both sides. The goal is to isolate the variable z and determine the solution set.

Key Concept Explanation
To solve the inequality, we need to move all terms involving the variable z to one side and the constants to the other side. We must also be cautious when performing operations that involve negative numbers, as they can change the direction of the inequality.

Step-by-step Solution
1. Subtract 3z from both sides:
2. Subtract 22 from both sides:

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