Question

13
\the sum of a number and 7,
divided by -3, is 2.\

Explanation:

Step1: Define the variable

Let the number be \( x \).

Step2: Translate the sentence into an equation

The sum of the number and 7 is \( x + 7 \). Dividing this by -3 gives \( \frac{x + 7}{-3} \), and this is equal to 2. So the equation is \( \frac{x + 7}{-3}=2 \).

Step3: Solve the equation

Multiply both sides of the equation by -3: \( x + 7 = 2\times(-3) \)
Simplify the right side: \( x + 7 = -6 \)
Subtract 7 from both sides: \( x = -6 - 7 \)
Calculate the result: \( x = -13 \)

Answer:

The number is \(-13\)