To simplify the expression, let's start by distributing the coefficients:
1/2(z+4) - 3(1/4z+1)
= 1/2 * z + 1/2 * 4 - 3(1/4 * z + 1 * 1)
Next, let's simplify the coefficients:
= 1/2z + 2 - 3/4z - 3
Then, we can combine like terms:
= (1/2z - 3/4z) + (2 - 3)
= (2z/4 - 3z/4) - 1
= (2z - 3z) / 4 - 1
= -z/4 - 1
Therefore, 1/2(z+4) - 3(1/4z+1) simplifies to -z/4 - 1.
1/2(z+4)-3(1/4z+1)
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