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Simplifying 20000x(p + -10) = 10000x(20 + -1p) Reorder the terms: 20000x(-10 + p) = 10000x(20 + -1p) (-10 * 20000x + p * 20000x) = 10000x(20 + -1p) Reorder the terms: (20000px + -200000x) = 10000x(20 + -1p) (20000px + -200000x) = 10000x(20 + -1p) 20000px + -200000x = (20 * 10000x + -1p * 10000x) Reorder the terms: 20000px + -200000x = (-10000px + 200000x) 20000px + -200000x = (-10000px + 200000x) Solving 20000px + -200000x = -10000px + 200000x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10000px' to each side of the equation. 20000px + 10000px + -200000x = -10000px + 10000px + 200000x Combine like terms: 20000px + 10000px = 30000px 30000px + -200000x = -10000px + 10000px + 200000x Combine like terms: -10000px + 10000px = 0 30000px + -200000x = 0 + 200000x 30000px + -200000x = 200000x Add '200000x' to each side of the equation. 30000px + -200000x + 200000x = 200000x + 200000x Combine like terms: -200000x + 200000x = 0 30000px + 0 = 200000x + 200000x 30000px = 200000x + 200000x Combine like terms: 200000x + 200000x = 400000x 30000px = 400000x Divide each side by '30000x'. p = 13.33333333 Simplifying p = 13.33333333
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