Combine like terms to create an equivalent expression.
\[7.4z-5\left(-1.6z+2.4\right)\]

Let's simplify the given expression step by step:

Given expression: 
\[
7.4z - 5(-1.6z + 2.4)
\]

### Step 1: Distribute the \(-5\) across the terms inside the parentheses.
\[
7.4z - 5(-1.6z) + 5(2.4)
\]

### Step 2: Perform the multiplications.
\[
7.4z + 8z - 12
\]

### Step 3: Combine the like terms.
\[
(7.4z + 8z) - 12 = 15.4z - 12
\]

Thus, the simplified expression is:
\[
15.4z - 12
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you combine like terms in expressions with variables?
2. How do you distribute negative numbers across parentheses?
3. What is the importance of simplifying expressions in algebra?
4. Can the order of operations change the outcome of simplifications?
5. What are the steps to factor expressions after combining like terms?

**Tip:** Always distribute negative signs carefully to avoid common mistakes in sign changes.

Combine like terms to create an equivalent expression. 7.4z - 5(-1.6z + 2.4)

Learn how to simplify the algebraic expression 7.4z - 5(-1.6z + 2.4) step by step using the distributive property and combining like terms. This guide is suitable for middle school students (Grades 6-8) and covers key concepts in simplifying algebraic expressions.

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