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Simplifying 5(11 + 4P) + 4P = -5(-5P + -9) (11 * 5 + 4P * 5) + 4P = -5(-5P + -9) (55 + 20P) + 4P = -5(-5P + -9) Combine like terms: 20P + 4P = 24P 55 + 24P = -5(-5P + -9) Reorder the terms: 55 + 24P = -5(-9 + -5P) 55 + 24P = (-9 * -5 + -5P * -5) 55 + 24P = (45 + 25P) Solving 55 + 24P = 45 + 25P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-25P' to each side of the equation. 55 + 24P + -25P = 45 + 25P + -25P Combine like terms: 24P + -25P = -1P 55 + -1P = 45 + 25P + -25P Combine like terms: 25P + -25P = 0 55 + -1P = 45 + 0 55 + -1P = 45 Add '-55' to each side of the equation. 55 + -55 + -1P = 45 + -55 Combine like terms: 55 + -55 = 0 0 + -1P = 45 + -55 -1P = 45 + -55 Combine like terms: 45 + -55 = -10 -1P = -10 Divide each side by '-1'. P = 10 Simplifying P = 10
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