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

Answer 1

To solve this expression, we'll first simplify it step by step.

Starting with the first term, 1/2 (z+4):

1/2 (z+4) = (1/2) * z + (1/2) * 4
= 1/2 * z + 2

Now moving on to the second term, 3(1/4z + 1):

3(1/4z + 1) = 3 * (1/4 * z) + 3 * 1
= 3/4 * z + 3

Now we can substitute these simplified terms back into the original expression and subtract:

1/2 (z+4) - 3 (1/4z + 1) = (1/2 * z + 2) - (3/4 * z + 3)

Distribute the negative sign to the terms inside the parentheses:

= 1/2 * z + 2 - 3/4 * z - 3

Combine like terms:

= (1/2 - 3/4) * z + (2 - 3)

The common denominator for 1/2 and 3/4 is 4. Multiplying 1/2 by 2/2 and 3/4 by 1/1, we get:

= (2/4 - 3/4) * z - 1

= (-1/4) * z - 1

So, the simplified form of the expression is (-1/4)z - 1.