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

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


Simplifying
3p + -2(4 + -2p) = 2(p + -5) + -33
3p + (4 * -2 + -2p * -2) = 2(p + -5) + -33
3p + (-8 + 4p) = 2(p + -5) + -33

Reorder the terms:
-8 + 3p + 4p = 2(p + -5) + -33

Combine like terms: 3p + 4p = 7p
-8 + 7p = 2(p + -5) + -33

Reorder the terms:
-8 + 7p = 2(-5 + p) + -33
-8 + 7p = (-5 * 2 + p * 2) + -33
-8 + 7p = (-10 + 2p) + -33

Reorder the terms:
-8 + 7p = -10 + -33 + 2p

Combine like terms: -10 + -33 = -43
-8 + 7p = -43 + 2p

Solving
-8 + 7p = -43 + 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.
-8 + 7p + -2p = -43 + 2p + -2p

Combine like terms: 7p + -2p = 5p
-8 + 5p = -43 + 2p + -2p

Combine like terms: 2p + -2p = 0
-8 + 5p = -43 + 0
-8 + 5p = -43

Add '8' to each side of the equation.
-8 + 8 + 5p = -43 + 8

Combine like terms: -8 + 8 = 0
0 + 5p = -43 + 8
5p = -43 + 8

Combine like terms: -43 + 8 = -35
5p = -35

Divide each side by '5'.
p = -7

Simplifying
p = -7

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