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Simplifying -4p + -2(2 + -5P) = 3(P + -3) + -22 -4p + (2 * -2 + -5P * -2) = 3(P + -3) + -22 -4p + (-4 + 10P) = 3(P + -3) + -22 Reorder the terms: -4 + 10P + -4p = 3(P + -3) + -22 Reorder the terms: -4 + 10P + -4p = 3(-3 + P) + -22 -4 + 10P + -4p = (-3 * 3 + P * 3) + -22 -4 + 10P + -4p = (-9 + 3P) + -22 Reorder the terms: -4 + 10P + -4p = -9 + -22 + 3P Combine like terms: -9 + -22 = -31 -4 + 10P + -4p = -31 + 3P Solving -4 + 10P + -4p = -31 + 3P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-3P' to each side of the equation. -4 + 10P + -3P + -4p = -31 + 3P + -3P Combine like terms: 10P + -3P = 7P -4 + 7P + -4p = -31 + 3P + -3P Combine like terms: 3P + -3P = 0 -4 + 7P + -4p = -31 + 0 -4 + 7P + -4p = -31 Add '4' to each side of the equation. -4 + 7P + 4 + -4p = -31 + 4 Reorder the terms: -4 + 4 + 7P + -4p = -31 + 4 Combine like terms: -4 + 4 = 0 0 + 7P + -4p = -31 + 4 7P + -4p = -31 + 4 Combine like terms: -31 + 4 = -27 7P + -4p = -27 Add '4p' to each side of the equation. 7P + -4p + 4p = -27 + 4p Combine like terms: -4p + 4p = 0 7P + 0 = -27 + 4p 7P = -27 + 4p Divide each side by '7'. P = -3.857142857 + 0.5714285714p Simplifying P = -3.857142857 + 0.5714285714p
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