Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.

Question

Combine like terms: –10.9p + 3.9 = –9.18
Apply the next steps to solve the equation. What is the solution?

p =

Answer 1

To solve the equation \(-10.9p + 3.9 = -9.18\), follow these steps:

1. Isolate the term with \(p\): Subtract \(3.9\) from both sides of the equation:

   \[ -10.9p + 3.9 - 3.9 = -9.18 - 3.9 \]

   This simplifies to:

   \[ -10.9p = -13.08 \]

2. Solve for \(p\): Divide both sides by \(-10.9\):

   \[ p = \frac{-13.08}{-10.9} \]

   This simplifies to:

   \[ p = \frac{13.08}{10.9} \]

3. Calculate the value:

   \[ p \approx 1.2 \]

Thus, the solution is:

\[ \boxed{1.2} \]