Complete the process of solving the equation.

Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
3(c+7)=3
c+7=
Add 3 to both sides
Subtract 3 from both sides
Multiply both sides by 3
Divide both sides by 3
Combine like terms
c=
Add 7 to both sides
Subtract 7 from both sides
Multiply both sides by 7
Divide both sides by 7
Apply the distributive property

Answer 1

Let's solve the equation step by step and fill in the missing terms and descriptions.

1. Start with the original equation: \[ 3(c + 7) = 3 \]

2. Apply the distributive property: \[ c + 7 = 1 \quad \text{(Divide both sides by 3)} \] (because \( 3 \div 3 = 1 \))

3. Now we have: \[ c + 7 = 1 \]

4. Next, we subtract 7 from both sides: \[ c = 1 - 7 \]

5. Combine like terms: \[ c = -6 \]

So the completed steps with filled-in missing terms and descriptions are as follows:

• Equation: \( 3(c + 7) = 3 \)
• Apply the distributive property: \( c + 7 = 1 \)
• Subtract 7 from both sides: \( c = 1 - 7 \)
• Combine like terms: \( c = -6 \)

Missing Descriptions:

• Multiply both sides by 3 (not used, as we divided both sides by 3 instead)
• Add 3 to both sides (not used, as we didn't need to add 3)
• Subtract 3 from both sides (not used)
• Divide both sides by 3 (used)
• Subtract 7 from both sides (used)

Final Simplified Answer:

\[ c = -6 \]