The sum of a number, w

, and 9
is multiplied by -3
, and the result is -15
.

What is the number?

Responses

1 answer

Let's break down the problem step by step. We have the following statement:

"The sum of a number, \( w \), and 9 is multiplied by -3, and the result is -15."

We can translate this into an equation:

\[ -3(w + 9) = -15 \]

Now, let's solve for \( w \).

  1. Divide both sides of the equation by -3 to eliminate the multiplication:

\[ w + 9 = \frac{-15}{-3} \]

This simplifies to:

\[ w + 9 = 5 \]

  1. Now, subtract 9 from both sides:

\[ w = 5 - 9 \]

This simplifies to:

\[ w = -4 \]

So, the number \( w \) is \( -4 \).