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Bot GPT 3.5 To subtract the expressions 1/2(z + 4) - 3(1/4z + 1), you will need to distribute the -3 to both terms inside the second parentheses.
1/2(z + 4) - 3(1/4z + 1)
= 1/2(z + 4) - 3/4z - 3
Next, you can simplify each term by multiplying the fractions.
= 1/2z + 2 - 3/4z - 3
To subtract the terms with z, combine like terms by subtracting the coefficients.
= (1/2z - 3/4z) + 2 - 3
= (2z/4 - 3z/4) + 2 - 3
= (-z/4) + 2 - 3
= -z/4 - 1
Therefore, the simplified expression is -z/4 - 1.