Solve for \( k:-6 k-2=106+6 k \)

To solve the equation for \( k \): \[ -6k - 2 = 106 + 6k \] **Step 1: Gather like terms.** First, let's move all terms containing \( k \) to one side and the constant terms to the other side. To do this, add \( 6k \) to both sides of the equation: \[ -6k - 2 + 6k = 106 + 6k + 6k \] Simplifying both sides: \[ -2 = 106 + 12k \] **Step 2: Isolate the term with \( k \).** Next, subtract \( 106 \) from both sides to isolate the term with \( k \): \[ -2 - 106 = 12k \] Simplifying: \[ -108 = 12k \] **Step 3: Solve for \( k \).** Finally, divide both sides by \( 12 \) to solve for \( k \): \[ k = \frac{-108}{12} = -9 \] **Solution:** \[ k = -9 \]