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Simplifying 0.35p + 0.95(1 + -1p) = 0.95p 0.35p + (1 * 0.95 + -1p * 0.95) = 0.95p 0.35p + (0.95 + -0.95p) = 0.95p Reorder the terms: 0.95 + 0.35p + -0.95p = 0.95p Combine like terms: 0.35p + -0.95p = -0.6p 0.95 + -0.6p = 0.95p Solving 0.95 + -0.6p = 0.95p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.95p' to each side of the equation. 0.95 + -0.6p + -0.95p = 0.95p + -0.95p Combine like terms: -0.6p + -0.95p = -1.55p 0.95 + -1.55p = 0.95p + -0.95p Combine like terms: 0.95p + -0.95p = 0.00 0.95 + -1.55p = 0.00 Add '-0.95' to each side of the equation. 0.95 + -0.95 + -1.55p = 0.00 + -0.95 Combine like terms: 0.95 + -0.95 = 0.00 0.00 + -1.55p = 0.00 + -0.95 -1.55p = 0.00 + -0.95 Combine like terms: 0.00 + -0.95 = -0.95 -1.55p = -0.95 Divide each side by '-1.55'. p = 0.6129032258 Simplifying p = 0.6129032258
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