Complete the process of solving the equation.

Question

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

Answer 1

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.