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Simplifying P + -12p + -24 = 1 + -8p + 5 Reorder the terms: -24 + P + -12p = 1 + -8p + 5 Reorder the terms: -24 + P + -12p = 1 + 5 + -8p Combine like terms: 1 + 5 = 6 -24 + P + -12p = 6 + -8p Solving -24 + P + -12p = 6 + -8p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '24' to each side of the equation. -24 + P + 24 + -12p = 6 + 24 + -8p Reorder the terms: -24 + 24 + P + -12p = 6 + 24 + -8p Combine like terms: -24 + 24 = 0 0 + P + -12p = 6 + 24 + -8p P + -12p = 6 + 24 + -8p Combine like terms: 6 + 24 = 30 P + -12p = 30 + -8p Add '12p' to each side of the equation. P + -12p + 12p = 30 + -8p + 12p Combine like terms: -12p + 12p = 0 P + 0 = 30 + -8p + 12p P = 30 + -8p + 12p Combine like terms: -8p + 12p = 4p P = 30 + 4p Simplifying P = 30 + 4p
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