Subtract 1/2 (z + 4) - 3 (1/4z + 1). Use fractions in final form
To simplify the expression, let's distribute the coefficients:
1/2 (z + 4) - 3 (1/4z + 1) = (1/2*z + 1/2*4) - (3*1/4*z + 3*1)
Now, we can simplify the expression further:
= 1/2*z + 2/2 - 3/4*z - 3
Since 2/2 equals 1, the expression becomes:
= 1/2*z + 1 - 3/4*z - 3
Now, let's combine like terms by subtracting the fractions:
= (1/2*z - 3/4*z) + (1 - 3)
The terms inside the parentheses can be combined:
= (4/8*z - 3/4*z) + (-2)
Simplifying again:
= [(4z*4) - (3z*8)]/8 + (-2)
= (16z - 24z)/8 - 2
= -8z/8 - 2
Simplifying further:
= -z - 2
Therefore, the simplified expression is -z - 2.