Question

simplify the expression:
5r + -7r

Explanation:

Step1: Combine like terms

Like terms are terms with the same variable. Here, \(5r\) and \(-7r\) are like terms. To combine them, we add their coefficients. The coefficient of \(5r\) is \(5\) and the coefficient of \(-7r\) is \(-7\). So we calculate \(5 + (-7)\).
\(5 + (-7)=5 - 7=-2\)

Step2: Write the combined term

After combining the coefficients, we multiply the result by the variable \(r\). So we get \(-2r\).

Answer:

\(-2r\)