Let's simplify the expression \( 4.4(-1.8 + 5.1r) \).

Distribute the \( 4.4 \) across both terms inside the parentheses:

\[
4.4 \times -1.8 + 4.4 \times 5.1r
\]

Step-by-step:

1. \( 4.4 \times -1.8 = -7.92 \)
2. \( 4.4 \times 5.1r = 22.44r \)

So, the simplified expression is:

\[
-7.92 + 22.44r
\]

Would you like more details on how distribution works or have any questions?

Here are 5 related questions for practice:

1. Simplify \( 3(2.5 - 4r) \).
2. Expand \( 5.6(1.2r - 0.8) \).
3. Factor the expression \( -9.6 + 19.2r \).
4. Solve for \( r \) in \( -7.92 + 22.44r = 0 \).
5. What is the result of \( 6(-2 + 3r) \)?

**Tip**: Always distribute a number to each term inside the parentheses, including the negative sign if there is one.

This step-by-step guide simplifies the algebraic expression 4.4(–1.8 + 5.1r) using the distributive property. Learn how to distribute the constant across terms and combine like terms. Perfect for students in Grades 6-8 studying basic algebra and distribution.

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