Question

simplify the expression.
\\(\frac{5}{9}z - \frac{6}{9}z + 2 - \frac{7}{9}z - 9\\)

\\(\frac{5}{9}z - \frac{6}{9}z + 2 - \frac{7}{9}z - 9 = \square\\)
(simplify your answer. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Combine like terms for z

We have \(\frac{5}{9}z - \frac{6}{9}z - \frac{7}{9}z\). First, add the coefficients: \(\frac{5 - 6 - 7}{9}z\). Calculating the numerator: \(5 - 6 = -1\), then \(-1 - 7 = -8\). So the z - terms combine to \(\frac{-8}{9}z\).

Step2: Combine constant terms

We have \(2 - 9\). Calculating that: \(2 - 9 = -7\).

Step3: Combine the results

Now, combine the z - term and the constant term: \(\frac{-8}{9}z - 7\).

Answer:

\(-\frac{8}{9}z - 7\)