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Simplifying -3(8p + 3) + -2(6 + -20P) + -3(5 + 5p) = 0 Reorder the terms: -3(3 + 8p) + -2(6 + -20P) + -3(5 + 5p) = 0 (3 * -3 + 8p * -3) + -2(6 + -20P) + -3(5 + 5p) = 0 (-9 + -24p) + -2(6 + -20P) + -3(5 + 5p) = 0 -9 + -24p + (6 * -2 + -20P * -2) + -3(5 + 5p) = 0 -9 + -24p + (-12 + 40P) + -3(5 + 5p) = 0 -9 + -24p + -12 + 40P + (5 * -3 + 5p * -3) = 0 -9 + -24p + -12 + 40P + (-15 + -15p) = 0 Reorder the terms: -9 + -12 + -15 + 40P + -24p + -15p = 0 Combine like terms: -9 + -12 = -21 -21 + -15 + 40P + -24p + -15p = 0 Combine like terms: -21 + -15 = -36 -36 + 40P + -24p + -15p = 0 Combine like terms: -24p + -15p = -39p -36 + 40P + -39p = 0 Solving -36 + 40P + -39p = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 40P + 36 + -39p = 0 + 36 Reorder the terms: -36 + 36 + 40P + -39p = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 40P + -39p = 0 + 36 40P + -39p = 0 + 36 Combine like terms: 0 + 36 = 36 40P + -39p = 36 Add '39p' to each side of the equation. 40P + -39p + 39p = 36 + 39p Combine like terms: -39p + 39p = 0 40P + 0 = 36 + 39p 40P = 36 + 39p Divide each side by '40'. P = 0.9 + 0.975p Simplifying P = 0.9 + 0.975p
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