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Simplifying 100p + -80(1 + -1p) = -90p + 70(1 + -1p) 100p + (1 * -80 + -1p * -80) = -90p + 70(1 + -1p) 100p + (-80 + 80p) = -90p + 70(1 + -1p) Reorder the terms: -80 + 100p + 80p = -90p + 70(1 + -1p) Combine like terms: 100p + 80p = 180p -80 + 180p = -90p + 70(1 + -1p) -80 + 180p = -90p + (1 * 70 + -1p * 70) -80 + 180p = -90p + (70 + -70p) Reorder the terms: -80 + 180p = 70 + -90p + -70p Combine like terms: -90p + -70p = -160p -80 + 180p = 70 + -160p Solving -80 + 180p = 70 + -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. -80 + 180p + 160p = 70 + -160p + 160p Combine like terms: 180p + 160p = 340p -80 + 340p = 70 + -160p + 160p Combine like terms: -160p + 160p = 0 -80 + 340p = 70 + 0 -80 + 340p = 70 Add '80' to each side of the equation. -80 + 80 + 340p = 70 + 80 Combine like terms: -80 + 80 = 0 0 + 340p = 70 + 80 340p = 70 + 80 Combine like terms: 70 + 80 = 150 340p = 150 Divide each side by '340'. p = 0.4411764706 Simplifying p = 0.4411764706
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