Complete the process of solving the equation.

Question

Fill in the missing term and select the missing description. Simplify any fractions.
–
4b+14=10
–
4b=
–
4
Add 14 to both sides
Subtract 14 from both sides
Multiply both sides by 14
Divide both sides by 14
Apply the distributive property
b=
Divide both sides by
–
4

Answer 1

Let's solve the equation step by step:

1. Start with the equation:
   \(-4b + 14 = 10\)

2. Subtract 14 from both sides:
   \(-4b + 14 - 14 = 10 - 14\)
   This simplifies to:
   \(-4b = -4\)

3. Fill in the blanks:

   • The missing term is:
     -4

4. Divide both sides by -4:
   \(-4b / -4 = -4 / -4\)
   This simplifies to:
   \(b = 1\)

In conclusion, we have:

• The completed process is:
  • \( -4b + 14 = 10 \)
  • \( -4b = -4 \)
  • Subtract 14 from both sides
  • \( b = 1 \)
  • Divide both sides by -4

So, the final answers are:

• \( b = 1 \)
• The missing description is "Subtract 14 from both sides."
• The last operation involves "Divide both sides by -4."