How many solutions does this equation have?

it is a straight line with nonzero slope, so it has to cross the x-axis at exactly one point.

To find the number of solutions for this equation, we need to simplify it and see if there is a unique solution or if there are infinitely many solutions.

Let's simplify the equation step by step:

6 − 5p − 11p = -14 − 17p

Combining like terms on the left side, we get:

6 - 16p = -14 - 17p

Now, let's isolate the p term by moving all other terms to the right side:

-16p + 17p = -14 - 6

Next, perform the operations on both sides:

p = -20

From this simplified equation, we can see that we have found a unique value for p, which is -20. This means that there is only one solution to the equation.

Therefore, the equation has only one solution.