3-(-5-2p)-(-2+3p)=[-2]-(2p-5)-(-4p+3)

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Solution for 3-(-5-2p)-(-2+3p)=[-2]-(2p-5)-(-4p+3) equation: 


Simplifying
3 + -1(-5 + -2p) + -1(-2 + 3p) = [-2] + -1(2p + -5) + -1(-4p + 3)
3 + (-5 * -1 + -2p * -1) + -1(-2 + 3p) = [-2] + -1(2p + -5) + -1(-4p + 3)
3 + (5 + 2p) + -1(-2 + 3p) = [-2] + -1(2p + -5) + -1(-4p + 3)
3 + 5 + 2p + (-2 * -1 + 3p * -1) = [-2] + -1(2p + -5) + -1(-4p + 3)
3 + 5 + 2p + (2 + -3p) = [-2] + -1(2p + -5) + -1(-4p + 3)

Reorder the terms:
3 + 5 + 2 + 2p + -3p = [-2] + -1(2p + -5) + -1(-4p + 3)

Combine like terms: 3 + 5 = 8
8 + 2 + 2p + -3p = [-2] + -1(2p + -5) + -1(-4p + 3)

Combine like terms: 8 + 2 = 10
10 + 2p + -3p = [-2] + -1(2p + -5) + -1(-4p + 3)

Combine like terms: 2p + -3p = -1p
10 + -1p = [-2] + -1(2p + -5) + -1(-4p + 3)
10 + -1p = -2 + -1(2p + -5) + -1(-4p + 3)

Reorder the terms:
10 + -1p = -2 + -1(-5 + 2p) + -1(-4p + 3)
10 + -1p = -2 + (-5 * -1 + 2p * -1) + -1(-4p + 3)
10 + -1p = -2 + (5 + -2p) + -1(-4p + 3)

Reorder the terms:
10 + -1p = -2 + 5 + -2p + -1(3 + -4p)
10 + -1p = -2 + 5 + -2p + (3 * -1 + -4p * -1)
10 + -1p = -2 + 5 + -2p + (-3 + 4p)

Reorder the terms:
10 + -1p = -2 + 5 + -3 + -2p + 4p

Combine like terms: -2 + 5 = 3
10 + -1p = 3 + -3 + -2p + 4p

Combine like terms: 3 + -3 = 0
10 + -1p = 0 + -2p + 4p
10 + -1p = -2p + 4p

Combine like terms: -2p + 4p = 2p
10 + -1p = 2p

Solving
10 + -1p = 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.
10 + -1p + -2p = 2p + -2p

Combine like terms: -1p + -2p = -3p
10 + -3p = 2p + -2p

Combine like terms: 2p + -2p = 0
10 + -3p = 0

Add '-10' to each side of the equation.
10 + -10 + -3p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3p = 0 + -10
-3p = 0 + -10

Combine like terms: 0 + -10 = -10
-3p = -10

Divide each side by '-3'.
p = 3.333333333

Simplifying
p = 3.333333333

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