-11 + 10(p + 10) =4 - 5(2p + 11)

To solve the equation \(-11 + 10(p + 10) = 4 - 5(2p + 11)\), we will start by simplifying both sides step-by-step.

Step 1: Expand both sides.

On the left side:

\[ -11 + 10(p + 10) = -11 + 10p + 100 = 10p + 89 \]

On the right side:

\[ 4 - 5(2p + 11) = 4 - 10p - 55 = -10p - 51 \]

So the equation now looks like this:

\[ 10p + 89 = -10p - 51 \]

Step 2: Combine like terms.

Add \(10p\) to both sides:

\[ 10p + 10p + 89 = -51 \]

This simplifies to:

\[ 20p + 89 = -51 \]

Step 3: Isolate the \(p\) term.

Subtract \(89\) from both sides:

\[ 20p = -51 - 89 \]

Simplifying that gives:

\[ 20p = -140 \]

Step 4: Solve for \(p\).

Now divide both sides by \(20\):

\[ p = \frac{-140}{20} = -7 \]

Thus, the solution is:

\[ \boxed{-7} \]