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Question

Translate the following into an equation and then solve the equation.

"Five less than the product of a number and -2 is -13

(1 point)
Responses

The number is -8

The number is -5

The number is -12

The number is 4

Answer 1

Let's break down the statement "Five less than the product of a number and -2 is -13."

1. Let the number be represented by \( x \).
2. The product of a number and -2 is represented as \( -2x \).
3. "Five less than the product" can be expressed as \( -2x - 5 \).
4. The statement then becomes the equation:

\[ -2x - 5 = -13 \]

Now, let's solve the equation.

1. Add 5 to both sides:

\[ -2x - 5 + 5 = -13 + 5 \]

Which simplifies to:

\[ -2x = -8 \]

2. Now divide both sides by -2:

\[ x = \frac{-8}{-2} \]

Which simplifies to:

\[ x = 4 \]

So the solution is that the number is 4.

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