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subtract. (4r + 9) - (3r + 3)

Question

subtract.
(4r + 9) - (3r + 3)

Explanation:

Step1: Remove the parentheses

To subtract the two expressions, we first remove the parentheses. When we have a minus sign in front of a parentheses, we distribute the negative sign to each term inside the parentheses. So, \((4r + 9)-(3r + 3)=4r + 9-3r - 3\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(r\)-terms are \(4r\) and \(-3r\), and the constant terms are \(9\) and \(-3\). Combining the \(r\)-terms: \(4r-3r = r\). Combining the constant terms: \(9 - 3=6\). So, putting it together, we get \(r + 6\).

Answer:

\(r + 6\)