Combine the like terms to create an equivalent expression:

{-3z-z}

-4z

To combine the like terms in the expression {-3z-z}, we simply add the coefficients of the z terms.

So, combining the like terms, we get the equivalent expression:

-3z - z = -4z

To combine like terms, we need to first identify the terms that have the same variable raised to the same power. In this case, we have two terms: -3z and -z, which both have the variable z raised to the power of 1.

To combine these terms, we can simply add their coefficients. The coefficient of -3z is -3, and the coefficient of -z is -1.

So, combining the like terms -3z and -z, we get:
-3z + (-z) = -3z - z

When adding or subtracting terms with the same variable, we keep the variable the same and add or subtract the coefficients. In this case, the variable is z, and the coefficients are -3 and -1.

Therefore, the equivalent expression after combining the like terms is -3z - z.