1/2 (z + 4) - 3 (1/4 z + 1 ) use fractions in final form
To simplify the expression, we can distribute the coefficients to the terms inside the parentheses:
1/2(z) + 1/2(4) - 3(1/4(z)) - 3(1)
Simplifying further:
1/2z + 2/2 - 3/4z - 3
Next, we can combine like terms:
(1/2z - 3/4z) + (2/2 - 3)
To combine the fractions, we need to find a common denominator for the z terms. The common denominator for 2 and 4 is 4:
(2/4z - 3/4z) + (2/2 - 3)
Now that the denominators are the same, we can combine the z terms:
(-1/4z) + (2/2 - 3)
Simplifying the remaining fractions:
-1/4z + 1 - 3
Finally, we can combine the integers:
-1/4z - 2.