To subtract the given expression, we first need to distribute the factors:
1/2(z+4) = (1/2)z + (1/2)*4 = (1/2)z + 2
3(1/4z+1) = 3*(1/4)z + 3*1 = 3/4z + 3
Now we can subtract:
(1/2)z + 2 - (3/4)z - 3
Combining like terms, we have:
(1/2)z - (3/4)z + 2 - 3
To combine the z terms, we need a common denominator of 4:
(2/4)z - (3/4)z + 2 - 3
Simplifying, we have:
(-1/4)z - 1
Subtract 1/2(z+4)−3(1/4z+1)
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