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Simplifying P + -1(p + 36) = 9(p + -4) + 2p Reorder the terms: P + -1(36 + p) = 9(p + -4) + 2p P + (36 * -1 + p * -1) = 9(p + -4) + 2p P + (-36 + -1p) = 9(p + -4) + 2p Reorder the terms: -36 + P + -1p = 9(p + -4) + 2p Reorder the terms: -36 + P + -1p = 9(-4 + p) + 2p -36 + P + -1p = (-4 * 9 + p * 9) + 2p -36 + P + -1p = (-36 + 9p) + 2p Combine like terms: 9p + 2p = 11p -36 + P + -1p = -36 + 11p Add '36' to each side of the equation. -36 + P + 36 + -1p = -36 + 36 + 11p Reorder the terms: -36 + 36 + P + -1p = -36 + 36 + 11p Combine like terms: -36 + 36 = 0 0 + P + -1p = -36 + 36 + 11p P + -1p = -36 + 36 + 11p Combine like terms: -36 + 36 = 0 P + -1p = 0 + 11p P + -1p = 11p Solving P + -1p = 11p 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 = 11p + p Combine like terms: -1p + p = 0 P + 0 = 11p + p P = 11p + p Combine like terms: 11p + p = 12p P = 12p Simplifying P = 12p
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