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Simplifying 570 = 50p(0.20) + 150p Reorder the terms for easier multiplication: 570 = 50 * 0.20p + 150p Multiply 50 * 0.20 570 = 10p + 150p Combine like terms: 10p + 150p = 160p 570 = 160p Solving 570 = 160p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-160p' to each side of the equation. 570 + -160p = 160p + -160p Combine like terms: 160p + -160p = 0 570 + -160p = 0 Add '-570' to each side of the equation. 570 + -570 + -160p = 0 + -570 Combine like terms: 570 + -570 = 0 0 + -160p = 0 + -570 -160p = 0 + -570 Combine like terms: 0 + -570 = -570 -160p = -570 Divide each side by '-160'. p = 3.5625 Simplifying p = 3.5625
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