Complete the process of solving the equation.

Fill in the missing term and select the missing description. Simplify any fractions.
2(b+12)=

6
b+12=

3
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Combine like terms
b=
Subtract 12 from both sides

1 answer

To solve the equation step by step, let's start with the given information.

  1. We have the equation:

    \( 2(b + 12) = -6 \)

  2. To isolate \( b + 12 \), we first divide both sides by 2:

    \[ b + 12 = \frac{-6}{2} \]

    Simplifying the fraction gives:

    \[ b + 12 = -3 \]

  3. Now, we want to isolate \( b \) by subtracting 12 from both sides:

    \[ b = -3 - 12 \]

    Combining the terms gives:

    \[ b = -15 \]

Missing Terms and Descriptions:

  1. First Missing Term: The equation \( 2(b + 12) = -6 \) simplifies to \( b + 12 = -3 \) after dividing both sides by 2.

    • So the first missing term is: -3.
  2. Missing Description: When we moved from \( 2(b + 12) = -6 \) to \( b + 12 = -3 \), we divided both sides by 2.

  3. Finally, after simplifying, we found that:

    • Then Combine to get: \( b = -15 \).

So the complete solution can be summarized as follows:

  • Equation: \( 2(b + 12) = -6 \)

  • Division step: \( b + 12 = -3 \)

  • Final step: \( b = -15 \)

  • Missing Terms:

    • \( -3 \) (from \( b + 12 = -3 \))
    • Division step description: Divide both sides by 2.
  • Final Answer: \( b = -15 \) after subtracting 12.