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Simplifying 6560 = P + P(0.082)(8) Reorder the terms for easier multiplication: 6560 = P + 0.082 * 8P Multiply 0.082 * 8 6560 = P + 0.656P Combine like terms: P + 0.656P = 1.656P 6560 = 1.656P Solving 6560 = 1.656P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1.656P' to each side of the equation. 6560 + -1.656P = 1.656P + -1.656P Combine like terms: 1.656P + -1.656P = 0.000 6560 + -1.656P = 0.000 Add '-6560' to each side of the equation. 6560 + -6560 + -1.656P = 0.000 + -6560 Combine like terms: 6560 + -6560 = 0 0 + -1.656P = 0.000 + -6560 -1.656P = 0.000 + -6560 Combine like terms: 0.000 + -6560 = -6560 -1.656P = -6560 Divide each side by '-1.656'. P = 3961.352657 Simplifying P = 3961.352657
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