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Simplifying 80 = (10 + 30p) + -1(150 + 20p) Remove parenthesis around (10 + 30p) 80 = 10 + 30p + -1(150 + 20p) 80 = 10 + 30p + (150 * -1 + 20p * -1) 80 = 10 + 30p + (-150 + -20p) Reorder the terms: 80 = 10 + -150 + 30p + -20p Combine like terms: 10 + -150 = -140 80 = -140 + 30p + -20p Combine like terms: 30p + -20p = 10p 80 = -140 + 10p Solving 80 = -140 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 80 + -10p = -140 + 10p + -10p Combine like terms: 10p + -10p = 0 80 + -10p = -140 + 0 80 + -10p = -140 Add '-80' to each side of the equation. 80 + -80 + -10p = -140 + -80 Combine like terms: 80 + -80 = 0 0 + -10p = -140 + -80 -10p = -140 + -80 Combine like terms: -140 + -80 = -220 -10p = -220 Divide each side by '-10'. p = 22 Simplifying p = 22
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