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Simplifying 0.25p + 0.5(1600 + -1p) = 0.15(1600) 0.25p + (1600 * 0.5 + -1p * 0.5) = 0.15(1600) 0.25p + (800 + -0.5p) = 0.15(1600) Reorder the terms: 800 + 0.25p + -0.5p = 0.15(1600) Combine like terms: 0.25p + -0.5p = -0.25p 800 + -0.25p = 0.15(1600) Multiply 0.15 * 1600 800 + -0.25p = 240 Solving 800 + -0.25p = 240 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + -0.25p = 240 + -800 Combine like terms: 800 + -800 = 0 0 + -0.25p = 240 + -800 -0.25p = 240 + -800 Combine like terms: 240 + -800 = -560 -0.25p = -560 Divide each side by '-0.25'. p = 2240 Simplifying p = 2240
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