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Simplifying 100P(0.4) = 100P + -4500 Reorder the terms for easier multiplication: 100 * 0.4P = 100P + -4500 Multiply 100 * 0.4 40P = 100P + -4500 Reorder the terms: 40P = -4500 + 100P Solving 40P = -4500 + 100P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-100P' to each side of the equation. 40P + -100P = -4500 + 100P + -100P Combine like terms: 40P + -100P = -60P -60P = -4500 + 100P + -100P Combine like terms: 100P + -100P = 0 -60P = -4500 + 0 -60P = -4500 Divide each side by '-60'. P = 75 Simplifying P = 75
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