-5p+4=2(3p-2)-5(-9+2p)

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Solution for -5p+4=2(3p-2)-5(-9+2p) equation: 


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

Reorder the terms:
4 + -5p = 2(3p + -2) + -5(-9 + 2p)

Reorder the terms:
4 + -5p = 2(-2 + 3p) + -5(-9 + 2p)
4 + -5p = (-2 * 2 + 3p * 2) + -5(-9 + 2p)
4 + -5p = (-4 + 6p) + -5(-9 + 2p)
4 + -5p = -4 + 6p + (-9 * -5 + 2p * -5)
4 + -5p = -4 + 6p + (45 + -10p)

Reorder the terms:
4 + -5p = -4 + 45 + 6p + -10p

Combine like terms: -4 + 45 = 41
4 + -5p = 41 + 6p + -10p

Combine like terms: 6p + -10p = -4p
4 + -5p = 41 + -4p

Solving
4 + -5p = 41 + -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.
4 + -5p + 4p = 41 + -4p + 4p

Combine like terms: -5p + 4p = -1p
4 + -1p = 41 + -4p + 4p

Combine like terms: -4p + 4p = 0
4 + -1p = 41 + 0
4 + -1p = 41

Add '-4' to each side of the equation.
4 + -4 + -1p = 41 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 41 + -4
-1p = 41 + -4

Combine like terms: 41 + -4 = 37
-1p = 37

Divide each side by '-1'.
p = -37

Simplifying
p = -37

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