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Simplifying 146.25 = (3P)(0.11) + (P)(0.06) Remove parenthesis around (3P) 146.25 = 3P(0.11) + (P)(0.06) Reorder the terms for easier multiplication: 146.25 = 3 * 0.11P + (P)(0.06) Multiply 3 * 0.11 146.25 = 0.33P + (P)(0.06) Reorder the terms for easier multiplication: 146.25 = 0.33P + 0.06P Combine like terms: 0.33P + 0.06P = 0.39P 146.25 = 0.39P Solving 146.25 = 0.39P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-0.39P' to each side of the equation. 146.25 + -0.39P = 0.39P + -0.39P Combine like terms: 0.39P + -0.39P = 0.00 146.25 + -0.39P = 0.00 Add '-146.25' to each side of the equation. 146.25 + -146.25 + -0.39P = 0.00 + -146.25 Combine like terms: 146.25 + -146.25 = 0.00 0.00 + -0.39P = 0.00 + -146.25 -0.39P = 0.00 + -146.25 Combine like terms: 0.00 + -146.25 = -146.25 -0.39P = -146.25 Divide each side by '-0.39'. P = 375 Simplifying P = 375
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