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Final answer:The simplified form of the mathematical expression 4z - z is 3z. We attain this by understanding that z equals 1z, thus reducing the expression to 4z - 1z, which equals 3z.Explanation:To simplify the mathematical expression 4z - z, you need to understand howcoefficients(numbers in front of the alphabets) and variables (alphabets) in algebra work. In this case, both terms (4z and -z) have the same variable, z, therefore they can be combined or simplified.The term z is the same as 1z. So, 4z - z becomes 4z - 1z. When we subtract 1z from 4z, we have 3z. So, the simplest form of the expression 4z - z is 3z.Learn more about Algebraic simplification here:brainly.com/question/34472544#SPJ1...