Combine like terms to create an equivalent expression.
\[20\left(-1.5r+0.75\right)\]
To combine like terms, we need to distribute the 20 to both terms inside the parentheses. The expression becomes:
\begin{align*}
20(-1.5r+0.75) &= 20(-1.5r)+20(0.75) \\
&= -30r+15
\end{align*}
To combine like terms in the expression \(20(-1.5r + 0.75)\), we will distribute the 20 to both terms inside the parentheses.
First, multiply 20 by -1.5r:
\(20 \cdot (-1.5r) = -30r\)
Next, multiply 20 by 0.75:
\(20 \cdot 0.75 = 15\)
Now we have:
\(-30r + 15\)
And that's our final equivalent expression, where we have combined the like terms.
To combine like terms, we need to perform the multiplication first.
By distributing 20 to both terms inside the parentheses, we get:
\[20(-1.5r) + 20(0.75)\]
Simplifying further, we have:
\[ -30r + 15 \]
Thus, the equivalent expression is \(-30r + 15\).