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Simplifying 0.03P + 0.08(1200 + -1P) = 65 0.03P + (1200 * 0.08 + -1P * 0.08) = 65 0.03P + (96 + -0.08P) = 65 Reorder the terms: 96 + 0.03P + -0.08P = 65 Combine like terms: 0.03P + -0.08P = -0.05P 96 + -0.05P = 65 Solving 96 + -0.05P = 65 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -0.05P = 65 + -96 Combine like terms: 96 + -96 = 0 0 + -0.05P = 65 + -96 -0.05P = 65 + -96 Combine like terms: 65 + -96 = -31 -0.05P = -31 Divide each side by '-0.05'. P = 620 Simplifying P = 620
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