subtract 1/2 (z- 4) -3 (1/4z + 1). Use fraction in final form.
To solve the equation, we will first distribute and simplify:
1/2(z - 4) - 3(1/4z + 1)
= 1/2 * z - 1/2 * 4 - 3 * 1/4 * z - 3 * 1
Simplifying further:
= 1/2z - 2/2 - 3/4z - 3
Combining like terms:
= (1/2z - 3/4z) + (-2/2 - 3)
= (2/4z - 3/4z) + (-4/2)
= (1/4z) + (-2 - 3/2)
= 1/4z - 4/2 - 3/2
= 1/4z - 7/2
Therefore, the equation simplifies to 1/4z - 7/2.