-9p-3(2-6p)=5(p-5)-33

Solution for -9p-3(2-6p)=5(p-5)-33 equation:

Simplifying
-9p + -3(2 + -6p) = 5(p + -5) + -33
-9p + (2 * -3 + -6p * -3) = 5(p + -5) + -33
-9p + (-6 + 18p) = 5(p + -5) + -33

Reorder the terms:
-6 + -9p + 18p = 5(p + -5) + -33

Combine like terms: -9p + 18p = 9p
-6 + 9p = 5(p + -5) + -33

Reorder the terms:
-6 + 9p = 5(-5 + p) + -33
-6 + 9p = (-5 * 5 + p * 5) + -33
-6 + 9p = (-25 + 5p) + -33

Reorder the terms:
-6 + 9p = -25 + -33 + 5p

Combine like terms: -25 + -33 = -58
-6 + 9p = -58 + 5p

Solving
-6 + 9p = -58 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-6 + 9p + -5p = -58 + 5p + -5p

Combine like terms: 9p + -5p = 4p
-6 + 4p = -58 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 4p = -58 + 0
-6 + 4p = -58

Add '6' to each side of the equation.
-6 + 6 + 4p = -58 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -58 + 6
4p = -58 + 6

Combine like terms: -58 + 6 = -52
4p = -52

Divide each side by '4'.
p = -13

Simplifying
p = -13