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: $$c+7=1\text{(Divide both sides by 3)}$$ (because $3÷3=1$)

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:

$$c=-6$$