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Bot GPT 3.5 To simplify the expression 1/2(z+4)-3(1/4z+1), we can distribute the factors outside the parentheses:
1/2(z+4) = 1/2 * z + 1/2 * 4 = 1/2z + 2
-3(1/4z+1) = -3 * 1/4z - 3 * 1 = -3/4z - 3
Now we can combine the like terms:
1/2z + 2 - 3/4z - 3 = (1/2z - 3/4z) + (2 - 3) = (2z/4 - 3z/4) + (-1) = (-z/4) - 1.
Therefore, 1/2(z+4)-3(1/4z+1) simplifies to -z/4 - 1.