What is the value of k?

Question

2k+9=7−3k

Responses

k=−2
k equals negative 2

k=−0.4
k equals negative 0.4

k = 2
k = 2

k = 3.2

Answer 1

To solve the equation \(2k + 9 = 7 - 3k\), we can follow these steps:

1. Combine like terms: First, let's move all the terms involving \(k\) to one side and the constant terms to the other side.

   \(2k + 3k = 7 - 9\)

   This simplifies to:

   \(5k = -2\)

2. Solve for \(k\): Now, divide both sides by 5:

   \(k = -\frac{2}{5}\)

   Which is the same as:

   \(k = -0.4\)

Thus, the correct answer is: k equals negative 0.4.