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Simplifying 2(90 + -1p) + -1(p + -50) = (p + 30) + -1(p + 10) (90 * 2 + -1p * 2) + -1(p + -50) = (p + 30) + -1(p + 10) (180 + -2p) + -1(p + -50) = (p + 30) + -1(p + 10) Reorder the terms: 180 + -2p + -1(-50 + p) = (p + 30) + -1(p + 10) 180 + -2p + (-50 * -1 + p * -1) = (p + 30) + -1(p + 10) 180 + -2p + (50 + -1p) = (p + 30) + -1(p + 10) Reorder the terms: 180 + 50 + -2p + -1p = (p + 30) + -1(p + 10) Combine like terms: 180 + 50 = 230 230 + -2p + -1p = (p + 30) + -1(p + 10) Combine like terms: -2p + -1p = -3p 230 + -3p = (p + 30) + -1(p + 10) Reorder the terms: 230 + -3p = (30 + p) + -1(p + 10) Remove parenthesis around (30 + p) 230 + -3p = 30 + p + -1(p + 10) Reorder the terms: 230 + -3p = 30 + p + -1(10 + p) 230 + -3p = 30 + p + (10 * -1 + p * -1) 230 + -3p = 30 + p + (-10 + -1p) Reorder the terms: 230 + -3p = 30 + -10 + p + -1p Combine like terms: 30 + -10 = 20 230 + -3p = 20 + p + -1p Combine like terms: p + -1p = 0 230 + -3p = 20 + 0 230 + -3p = 20 Solving 230 + -3p = 20 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-230' to each side of the equation. 230 + -230 + -3p = 20 + -230 Combine like terms: 230 + -230 = 0 0 + -3p = 20 + -230 -3p = 20 + -230 Combine like terms: 20 + -230 = -210 -3p = -210 Divide each side by '-3'. p = 70 Simplifying p = 70
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