Questions: -12p-11 = -11p+16 -p-11 = 16 -p = 27 p = Divide both sides by -1

-12p-11 = -11p+16 -p-11 = 16 -p = 27 p = Divide both sides by -1
Transcript text: \[ \begin{aligned} -12 p-11 & =-11 p+16 \\ -p-11 & =16 \\ -p & =27 \\ p & = \end{aligned} \] \[ \text { Divide both sides by }-1 \]
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Solution

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Solution Steps

To solve the given linear equation, we need to isolate the variable \( p \). We start by simplifying and rearranging the terms step-by-step.

  1. Start with the given equation: \(-12p - 11 = -11p + 16\).
  2. Add \( 11p \) to both sides to combine like terms involving \( p \).
  3. Simplify the resulting equation.
  4. Isolate \( p \) by adding or subtracting constants as needed.
  5. Finally, divide both sides by the coefficient of \( p \) to solve for \( p \).
Step 1: Start with the given equation

Given: \[ -12p - 11 = -11p + 16 \]

Step 2: Combine like terms

Add \(11p\) to both sides: \[ -12p + 11p - 11 = 16 \] Simplify: \[ -p - 11 = 16 \]

Step 3: Isolate the variable term

Add 11 to both sides: \[ -p = 27 \]

Step 4: Solve for \( p \)

Divide both sides by \(-1\): \[ p = -27 \]

Final Answer

\[ \boxed{p = -27} \]

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