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Simplifying 10(p + 9) = 8(p + 7) Reorder the terms: 10(9 + p) = 8(p + 7) (9 * 10 + p * 10) = 8(p + 7) (90 + 10p) = 8(p + 7) Reorder the terms: 90 + 10p = 8(7 + p) 90 + 10p = (7 * 8 + p * 8) 90 + 10p = (56 + 8p) Solving 90 + 10p = 56 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 90 + 10p + -8p = 56 + 8p + -8p Combine like terms: 10p + -8p = 2p 90 + 2p = 56 + 8p + -8p Combine like terms: 8p + -8p = 0 90 + 2p = 56 + 0 90 + 2p = 56 Add '-90' to each side of the equation. 90 + -90 + 2p = 56 + -90 Combine like terms: 90 + -90 = 0 0 + 2p = 56 + -90 2p = 56 + -90 Combine like terms: 56 + -90 = -34 2p = -34 Divide each side by '2'. p = -17 Simplifying p = -17
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