Solve for \( e \) \( 9 e+4=-5 e+14+13 e \) \( e= \) Related content

To solve for \( e \) in the equation: \[ 9e + 4 = -5e + 14 + 13e \] **Step 1: Simplify the equation** First, combine like terms on the right side of the equation: \[ -5e + 13e = 8e \] So, the equation becomes: \[ 9e + 4 = 8e + 14 \] **Step 2: Get all terms containing \( e \) on one side and constants on the other** Subtract \( 8e \) from both sides to move the \( e \)-terms to the left: \[ 9e - 8e + 4 = 14 \] Simplifying this gives: \[ e + 4 = 14 \] **Step 3: Solve for \( e \)** Subtract 4 from both sides to isolate \( e \): \[ e = 14 - 4 \] \[ e = 10 \] **Final Answer:** \[ e = 10 \]