Solve and check 10p +9-11p= -2(2p+4)-3(2p-2)

Step 1: Simplify the equation on both sides.
10p + 9 - 11p = -2(2p + 4) - 3(2p - 2)

Step 2: Distribute the -2 and -3 on the right side of the equation.
10p + 9 - 11p = -4p - 8 - 6p + 6

Step 3: Combine like terms on both sides of the equation.
- p + 9 = -10p - 2

Step 4: Move all terms involving p to one side of the equation by adding 10p to both sides.
9 + 10p - p = -2

Step 5: Simplify.
9 + 9p = -2

Step 6: Move the constant term to the other side by subtracting 9 from both sides.
9p = -2 - 9

Step 7: Simplify.
9p = -11

Step 8: Solve for p by dividing both sides by 9.
\frac{{9p}}{{9}} = \frac{{-11}}{{9}}

Step 9: Simplify.
p = -\frac{{11}}{{9}}

Answer: p = -\frac{{11}}{{9}}