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The problem asks you to translate the sentence into an equation:

"**Four times the sum of a number and 3 equals 5.**"

Let the unknown number be \( c \). Here's how to break down the sentence:

- "Four times the sum" means you need to multiply something by 4.
- "The sum of a number and 3" refers to adding \( c \) (the unknown number) and 3.
- "Equals 5" means the result is equal to 5.

Now, putting all this together:

- First, the sum of \( c \) and 3 is \( (c + 3) \).
- Then, multiplying this sum by 4 gives \( 4(c + 3) \).
- Finally, this is equal to 5, so the equation becomes:

\[
4(c + 3) = 5
\]

This is the correct multi-step equation based on the problem's description.

Would you like more details or have any other questions?

Here are some related questions:
1. How would you solve the equation \( 4(c + 3) = 5 \) for \( c \)?
2. What happens if the number to be added was different, say \( 4 \) instead of \( 3 \)?
3. How would the equation change if it said "three times the sum" instead of "four times"?
4. What if the sentence said "four times the product" instead of "four times the sum"?
5. How can you check if your solution to \( c \) is correct?

**Tip:** Always simplify expressions within parentheses first before multiplying or solving equations.

Translate the sentence into an equation: Four times the sum of a number and 3 equals 5. Use the variable c for the unknown number.

Learn how to translate the sentence 'Four times the sum of a number and 3 equals 5' into a multi-step equation. This problem demonstrates core algebra concepts like translating sentences into equations and solving for the unknown variable, suitable for students in Grades 6-8.

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