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

Solution for 10p+9-11-p=-2(-2p+4)-3(2p-2) equation:

Simplifying
10p + 9 + -11 + -1p = -2(-2p + 4) + -3(2p + -2)

Reorder the terms:
9 + -11 + 10p + -1p = -2(-2p + 4) + -3(2p + -2)

Combine like terms: 9 + -11 = -2
-2 + 10p + -1p = -2(-2p + 4) + -3(2p + -2)

Combine like terms: 10p + -1p = 9p
-2 + 9p = -2(-2p + 4) + -3(2p + -2)

Reorder the terms:
-2 + 9p = -2(4 + -2p) + -3(2p + -2)
-2 + 9p = (4 * -2 + -2p * -2) + -3(2p + -2)
-2 + 9p = (-8 + 4p) + -3(2p + -2)

Reorder the terms:
-2 + 9p = -8 + 4p + -3(-2 + 2p)
-2 + 9p = -8 + 4p + (-2 * -3 + 2p * -3)
-2 + 9p = -8 + 4p + (6 + -6p)

Reorder the terms:
-2 + 9p = -8 + 6 + 4p + -6p

Combine like terms: -8 + 6 = -2
-2 + 9p = -2 + 4p + -6p

Combine like terms: 4p + -6p = -2p
-2 + 9p = -2 + -2p

Add '2' to each side of the equation.
-2 + 2 + 9p = -2 + 2 + -2p

Combine like terms: -2 + 2 = 0
0 + 9p = -2 + 2 + -2p
9p = -2 + 2 + -2p

Combine like terms: -2 + 2 = 0
9p = 0 + -2p
9p = -2p

Solving
9p = -2p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '2p' to each side of the equation.
9p + 2p = -2p + 2p

Combine like terms: 9p + 2p = 11p
11p = -2p + 2p

Combine like terms: -2p + 2p = 0
11p = 0

Divide each side by '11'.
p = 0

Simplifying
p = 0