2p-3(3-2p)=4(p-5)-33

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Solution for 2p-3(3-2p)=4(p-5)-33 equation: 


Simplifying
2p + -3(3 + -2p) = 4(p + -5) + -33
2p + (3 * -3 + -2p * -3) = 4(p + -5) + -33
2p + (-9 + 6p) = 4(p + -5) + -33

Reorder the terms:
-9 + 2p + 6p = 4(p + -5) + -33

Combine like terms: 2p + 6p = 8p
-9 + 8p = 4(p + -5) + -33

Reorder the terms:
-9 + 8p = 4(-5 + p) + -33
-9 + 8p = (-5 * 4 + p * 4) + -33
-9 + 8p = (-20 + 4p) + -33

Reorder the terms:
-9 + 8p = -20 + -33 + 4p

Combine like terms: -20 + -33 = -53
-9 + 8p = -53 + 4p

Solving
-9 + 8p = -53 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-9 + 8p + -4p = -53 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-9 + 4p = -53 + 4p + -4p

Combine like terms: 4p + -4p = 0
-9 + 4p = -53 + 0
-9 + 4p = -53

Add '9' to each side of the equation.
-9 + 9 + 4p = -53 + 9

Combine like terms: -9 + 9 = 0
0 + 4p = -53 + 9
4p = -53 + 9

Combine like terms: -53 + 9 = -44
4p = -44

Divide each side by '4'.
p = -11

Simplifying
p = -11

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