or

Question

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