-9p-3(2-5p)=2(p-2)-22

Solution for -9p-3(2-5p)=2(p-2)-22 equation:

Simplifying
-9p + -3(2 + -5p) = 2(p + -2) + -22
-9p + (2 * -3 + -5p * -3) = 2(p + -2) + -22
-9p + (-6 + 15p) = 2(p + -2) + -22

Reorder the terms:
-6 + -9p + 15p = 2(p + -2) + -22

Combine like terms: -9p + 15p = 6p
-6 + 6p = 2(p + -2) + -22

Reorder the terms:
-6 + 6p = 2(-2 + p) + -22
-6 + 6p = (-2 * 2 + p * 2) + -22
-6 + 6p = (-4 + 2p) + -22

Reorder the terms:
-6 + 6p = -4 + -22 + 2p

Combine like terms: -4 + -22 = -26
-6 + 6p = -26 + 2p

Solving
-6 + 6p = -26 + 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.
-6 + 6p + -2p = -26 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-6 + 4p = -26 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 4p = -26 + 0
-6 + 4p = -26

Add '6' to each side of the equation.
-6 + 6 + 4p = -26 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -26 + 6
4p = -26 + 6

Combine like terms: -26 + 6 = -20
4p = -20

Divide each side by '4'.
p = -5

Simplifying
p = -5