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Simplifying -20P + -5(4 + -5P) = 2(P + -3) + -20 -20P + (4 * -5 + -5P * -5) = 2(P + -3) + -20 -20P + (-20 + 25P) = 2(P + -3) + -20 Reorder the terms: -20 + -20P + 25P = 2(P + -3) + -20 Combine like terms: -20P + 25P = 5P -20 + 5P = 2(P + -3) + -20 Reorder the terms: -20 + 5P = 2(-3 + P) + -20 -20 + 5P = (-3 * 2 + P * 2) + -20 -20 + 5P = (-6 + 2P) + -20 Reorder the terms: -20 + 5P = -6 + -20 + 2P Combine like terms: -6 + -20 = -26 -20 + 5P = -26 + 2P Solving -20 + 5P = -26 + 2P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-2P' to each side of the equation. -20 + 5P + -2P = -26 + 2P + -2P Combine like terms: 5P + -2P = 3P -20 + 3P = -26 + 2P + -2P Combine like terms: 2P + -2P = 0 -20 + 3P = -26 + 0 -20 + 3P = -26 Add '20' to each side of the equation. -20 + 20 + 3P = -26 + 20 Combine like terms: -20 + 20 = 0 0 + 3P = -26 + 20 3P = -26 + 20 Combine like terms: -26 + 20 = -6 3P = -6 Divide each side by '3'. P = -2 Simplifying P = -2
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