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Simplifying P + -1(p + 20) = 4(p + -5) + 4p Reorder the terms: P + -1(20 + p) = 4(p + -5) + 4p P + (20 * -1 + p * -1) = 4(p + -5) + 4p P + (-20 + -1p) = 4(p + -5) + 4p Reorder the terms: -20 + P + -1p = 4(p + -5) + 4p Reorder the terms: -20 + P + -1p = 4(-5 + p) + 4p -20 + P + -1p = (-5 * 4 + p * 4) + 4p -20 + P + -1p = (-20 + 4p) + 4p Combine like terms: 4p + 4p = 8p -20 + P + -1p = -20 + 8p Add '20' to each side of the equation. -20 + P + 20 + -1p = -20 + 20 + 8p Reorder the terms: -20 + 20 + P + -1p = -20 + 20 + 8p Combine like terms: -20 + 20 = 0 0 + P + -1p = -20 + 20 + 8p P + -1p = -20 + 20 + 8p Combine like terms: -20 + 20 = 0 P + -1p = 0 + 8p P + -1p = 8p Solving P + -1p = 8p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add 'p' to each side of the equation. P + -1p + p = 8p + p Combine like terms: -1p + p = 0 P + 0 = 8p + p P = 8p + p Combine like terms: 8p + p = 9p P = 9p Simplifying P = 9p
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