Question

find the sum.
$left(-\frac{7}{2}z + 4\
ight) + \left(\frac{1}{5}z - 15\
ight) = \square$

Explanation:

Step1: Combine like terms for z

To combine the terms with \( z \), we have \( -\frac{7}{2}z + \frac{1}{5}z \). First, find a common denominator for the fractions, which is 10. Convert the fractions: \( -\frac{7}{2}z = -\frac{35}{10}z \) and \( \frac{1}{5}z = \frac{2}{10}z \). Then add them: \( -\frac{35}{10}z + \frac{2}{10}z = -\frac{33}{10}z \).

Step2: Combine constant terms

Next, combine the constant terms: \( 4 - 15 = -11 \).

Step3: Combine the results

Now, combine the two parts from Step 1 and Step 2: \( -\frac{33}{10}z - 11 \).

Answer:

\( -\frac{33}{10}z - 11 \)