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Simplifying -11 + 10(p + 10) = 45(2p + 11) Reorder the terms: -11 + 10(10 + p) = 45(2p + 11) -11 + (10 * 10 + p * 10) = 45(2p + 11) -11 + (100 + 10p) = 45(2p + 11) Combine like terms: -11 + 100 = 89 89 + 10p = 45(2p + 11) Reorder the terms: 89 + 10p = 45(11 + 2p) 89 + 10p = (11 * 45 + 2p * 45) 89 + 10p = (495 + 90p) Solving 89 + 10p = 495 + 90p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-90p' to each side of the equation. 89 + 10p + -90p = 495 + 90p + -90p Combine like terms: 10p + -90p = -80p 89 + -80p = 495 + 90p + -90p Combine like terms: 90p + -90p = 0 89 + -80p = 495 + 0 89 + -80p = 495 Add '-89' to each side of the equation. 89 + -89 + -80p = 495 + -89 Combine like terms: 89 + -89 = 0 0 + -80p = 495 + -89 -80p = 495 + -89 Combine like terms: 495 + -89 = 406 -80p = 406 Divide each side by '-80'. p = -5.075 Simplifying p = -5.075
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