Question

simplify the expression:
4z + 6z + 5z + -9z

Explanation:

Step1: Combine like terms

Since all terms have the variable \( z \), we can add their coefficients. The coefficients are \( 4 \), \( 6 \), \( 5 \), and \( -9 \). So we calculate \( 4 + 6 + 5 - 9 \).

Step2: Calculate the sum of coefficients

First, \( 4 + 6 = 10 \), then \( 10 + 5 = 15 \), and finally \( 15 - 9 = 6 \). So the simplified expression is \( 6z \).

Answer:

\( 6z \)