To subtract the given expression, we need to distribute the coefficients to their respective terms.
First, distribute the 1/2 to (z+4):
1/2 * (z+4) = (1/2)*(z) + (1/2)*(4) = 1/2z + 2
Next, distribute the -3 to (1/4z+1):
-3 * (1/4z+1) = (-3)*(1/4z) + (-3)*(1) = -3/4z - 3
Now we can subtract the two terms:
1/2z + 2 - 3/4z - 3
To simplify this expression, we need to find a common denominator for the fractions. The common denominator is 4, so we multiply the first term by 2/2 and the second term by 4/4:
(1/2)*(z/1)*(2/2z) + 2*(2/2) - (3/4z)*(4/4) - 3*(4/4)
This gives us:
(2z/4z) + 4/2 + (-12/4z) - 12/4
Simplifying each term:
(2z + 4) - (3z) - 3
Combining like terms:
2z - 3z + 4 - 3
Simplifying again:
-z + 1
So the final simplified form of the expression is -z + 1 in fraction form.
Subtract 1/2(z+4)−3(1/4z+1). Use fractions in final form.
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