Question

or
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
–
2(15r–12)=
–
17r+11
–
30r+
12
=
–
17r+11
Apply the distributive property
+24=11 Add 17r to both sides
–
13r=
Subtract 24 from both sides
r=
Divide both sides by
–
13

Answer 1

Let's complete the process step by step:

1. Start with the equation:
\[
-2(15r - 12) = -17r + 11
\]

2. Apply the distributive property:
\[
-2 \cdot 15r + -2 \cdot -12 = -17r + 11
\]
This simplifies to:
\[
-30r + 24 = -17r + 11
\]

3. Now, add \( 17r \) to both sides:
\[
-30r + 17r + 24 = 11
\]
This simplifies to:
\[
-13r + 24 = 11
\]

4. Subtract 24 from both sides:
\[
-13r = 11 - 24
\]
This simplifies to:
\[
-13r = -13
\]

5. Finally, divide both sides by \(-13\):
\[
r = \frac{-13}{-13}
\]
This simplifies to:
\[
r = 1
\]

So the missing terms are:
- On the line for \( -30r + \): **24**
- On the line for \( r = \): **1**
- The final line for "Divide both sides by": **–13**