Question

solve for k.
-0.48k + 0.2 = -0.5k
k =

Explanation:

Step1: Add 0.5k to both sides

To isolate the variable terms on one side, we add \(0.5k\) to both sides of the equation \(-0.48k + 0.2 = -0.5k\). This gives us \(-0.48k + 0.5k + 0.2 = -0.5k + 0.5k\). Simplifying the left side: \(-0.48k + 0.5k = 0.02k\), and the right side: \(-0.5k + 0.5k = 0\). So the equation becomes \(0.02k + 0.2 = 0\).

Step2: Subtract 0.2 from both sides

Next, we subtract \(0.2\) from both sides to get the term with \(k\) alone. So \(0.02k + 0.2 - 0.2 = 0 - 0.2\), which simplifies to \(0.02k = -0.2\).

Step3: Divide both sides by 0.02

To solve for \(k\), we divide both sides of the equation \(0.02k = -0.2\) by \(0.02\). Using the formula \(k=\frac{-0.2}{0.02}\), we calculate that \(k = -10\).

Answer:

\(-10\)