Question

Subtract 1/2 (z + 4) - 3 (1/4z + 1)

Answer 1

To solve the expression, we can distribute the values inside the parentheses and then combine like terms.

First, distribute -1/2 to both z and 4:
-1/2 * z = -z/2
-1/2 * 4 = -4/2 = -2

The expression becomes:
-(z/2) - 2 - 3(1/4z + 1)

Next, distribute 3 to both 1/4z and 1:
3 * 1/4z = 3/4z
3 * 1 = 3

The expression becomes:
-(z/2) - 2 - (3/4z + 3)

Now we can combine like terms. We can simplify -(z/2) and -2 by combining the two terms involving z and the two constant terms:
-(z/2) - 2 = -z/2 - 2

The expression becomes:
-z/2 - 2 - (3/4z + 3)

Now we can subtract the expressions involving z:
-z/2 - 3/4z = (-2z - 3z)/4z = -5z/4

The expression becomes:
-5z/4 - 2 - 3

Finally, we can simplify -5z/4 - 3 by combining the two terms involving z and the constant term:
-5z/4 - 3 = (-5z - 12)/4

The final simplified expression is:
(-5z - 12)/4