Question

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

Explanation:

Step1: Define the variable

Let the number be \( x \). The sum of negative 3 and the number is \( -3 + x \).

Step2: Set up the equation

The sum divided by 7 is -2, so we have the equation \(\frac{-3 + x}{7} = -2\).

Step3: Solve for \( x \)

Multiply both sides of the equation by 7: \(-3 + x = -2\times7\)
Simplify the right side: \(-3 + x = -14\)
Add 3 to both sides: \( x = -14 + 3 \)
Calculate the result: \( x = -11 \)

Answer:

The number is \(-11\)