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Simplifying 100p + (-90)(1 + -1p) = (-80) * p + 70(1 + -1p) 100p + (1 * -90 + -1p * -90) = (-80) * p + 70(1 + -1p) 100p + (-90 + 90p) = (-80) * p + 70(1 + -1p) Reorder the terms: -90 + 100p + 90p = (-80) * p + 70(1 + -1p) Combine like terms: 100p + 90p = 190p -90 + 190p = (-80) * p + 70(1 + -1p) -90 + 190p = -80p + (1 * 70 + -1p * 70) -90 + 190p = -80p + (70 + -70p) Reorder the terms: -90 + 190p = 70 + -80p + -70p Combine like terms: -80p + -70p = -150p -90 + 190p = 70 + -150p Solving -90 + 190p = 70 + -150p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '150p' to each side of the equation. -90 + 190p + 150p = 70 + -150p + 150p Combine like terms: 190p + 150p = 340p -90 + 340p = 70 + -150p + 150p Combine like terms: -150p + 150p = 0 -90 + 340p = 70 + 0 -90 + 340p = 70 Add '90' to each side of the equation. -90 + 90 + 340p = 70 + 90 Combine like terms: -90 + 90 = 0 0 + 340p = 70 + 90 340p = 70 + 90 Combine like terms: 70 + 90 = 160 340p = 160 Divide each side by '340'. p = 0.4705882353 Simplifying p = 0.4705882353
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