To simplify the expression 1/2(z+4) -3 (1/4z + 1), we can distribute the -3 to each term inside the parentheses:
1/2(z+4) - 3(1/4z) - 3(1)
When we distribute -3 to each term, we get:
1/2z + 2 - (3/4z) - 3
Next, let's combine like terms:
1/2z - (3/4z) + 2 -3
To combine the terms with z, we need a common denominator, which is 4 for both 2 and 3:
(2/4)z - (3/4z) - 1
Simplifying further:
(1/2)z - (3/4)z - 1
1/2(z+4) -3 (1/4z + 1)
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