Question

complete the process of solving the equation.
fill in all missing terms and select all missing descriptions. simplify any fractions.
-11(2r - 3) = -11
-22r + 33 = -11
-22r =
subtract 33 from both sides
r =
divide both sides by -22

Explanation:

Step1: Identify the first step's operation

To get from \(-11(2r - 3)\) to \(-22r + 33\), we use the Distributive Property. The Distributive Property states that \(a(b - c)=ab - ac\). Here, \(a=-11\), \(b = 2r\), and \(c = 3\), so \(-11\times2r=-22r\) and \(-11\times(-3)=33\). So the first missing description is "Distributive Property".

Step2: Subtract 33 from both sides

We start with \(-22r + 33=-11\). Subtract 33 from both sides: \(-22r+33 - 33=-11 - 33\). Simplifying both sides, we get \(-22r=-44\). So the missing term here is \(-44\).

Step3: Divide both sides by -22

Now we have \(-22r=-44\). Divide both sides by \(-22\): \(\frac{-22r}{-22}=\frac{-44}{-22}\). Simplifying, we get \(r = 2\). So the missing term here is \(2\).

Answer:

First missing description: Distributive Property; \(-22r=-44\); \(r = 2\)