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Simplifying P + -2 + -3 = -1(1 + 3p) + -3(p + -8) Reorder the terms: -2 + -3 + P = -1(1 + 3p) + -3(p + -8) Combine like terms: -2 + -3 = -5 -5 + P = -1(1 + 3p) + -3(p + -8) -5 + P = (1 * -1 + 3p * -1) + -3(p + -8) -5 + P = (-1 + -3p) + -3(p + -8) Reorder the terms: -5 + P = -1 + -3p + -3(-8 + p) -5 + P = -1 + -3p + (-8 * -3 + p * -3) -5 + P = -1 + -3p + (24 + -3p) Reorder the terms: -5 + P = -1 + 24 + -3p + -3p Combine like terms: -1 + 24 = 23 -5 + P = 23 + -3p + -3p Combine like terms: -3p + -3p = -6p -5 + P = 23 + -6p Solving -5 + P = 23 + -6p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + P = 23 + 5 + -6p Combine like terms: -5 + 5 = 0 0 + P = 23 + 5 + -6p P = 23 + 5 + -6p Combine like terms: 23 + 5 = 28 P = 28 + -6p Simplifying P = 28 + -6p
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