Question

simplify the expression.
\\(\frac{4}{9}z - \frac{5}{9}z + 4 - \frac{3}{9}z - 9\\)
\\(\frac{4}{9}z - \frac{5}{9}z + 4 - \frac{3}{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 the terms with \( z \): \( \frac{4}{9}z \), \( -\frac{5}{9}z \), and \( -\frac{3}{9}z \).
Adding their coefficients: \( \frac{4}{9} - \frac{5}{9} - \frac{3}{9} = \frac{4 - 5 - 3}{9} = \frac{-4}{9} \)
So the combined term for \( z \) is \( -\frac{4}{9}z \)

Step2: Combine constant terms

The constant terms are \( 4 \) and \( -9 \).
Adding them: \( 4 - 9 = -5 \)

Step3: Combine the results

Now we combine the combined \( z \) term and the combined constant term.
So the simplified expression is \( -\frac{4}{9}z - 5 \)

Answer:

\( -\dfrac{4}{9}z - 5 \)