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Simplifying 0.25(5P + -3) = 0.75(3P + -2) Reorder the terms: 0.25(-3 + 5P) = 0.75(3P + -2) (-3 * 0.25 + 5P * 0.25) = 0.75(3P + -2) (-0.75 + 1.25P) = 0.75(3P + -2) Reorder the terms: -0.75 + 1.25P = 0.75(-2 + 3P) -0.75 + 1.25P = (-2 * 0.75 + 3P * 0.75) -0.75 + 1.25P = (-1.5 + 2.25P) Solving -0.75 + 1.25P = -1.5 + 2.25P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-2.25P' to each side of the equation. -0.75 + 1.25P + -2.25P = -1.5 + 2.25P + -2.25P Combine like terms: 1.25P + -2.25P = -1P -0.75 + -1P = -1.5 + 2.25P + -2.25P Combine like terms: 2.25P + -2.25P = 0.00 -0.75 + -1P = -1.5 + 0.00 -0.75 + -1P = -1.5 Add '0.75' to each side of the equation. -0.75 + 0.75 + -1P = -1.5 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -1P = -1.5 + 0.75 -1P = -1.5 + 0.75 Combine like terms: -1.5 + 0.75 = -0.75 -1P = -0.75 Divide each side by '-1'. P = 0.75 Simplifying P = 0.75
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