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Simplifying 9(p + -1) = 5(8 + -8p) Reorder the terms: 9(-1 + p) = 5(8 + -8p) (-1 * 9 + p * 9) = 5(8 + -8p) (-9 + 9p) = 5(8 + -8p) -9 + 9p = (8 * 5 + -8p * 5) -9 + 9p = (40 + -40p) Solving -9 + 9p = 40 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -9 + 9p + 40p = 40 + -40p + 40p Combine like terms: 9p + 40p = 49p -9 + 49p = 40 + -40p + 40p Combine like terms: -40p + 40p = 0 -9 + 49p = 40 + 0 -9 + 49p = 40 Add '9' to each side of the equation. -9 + 9 + 49p = 40 + 9 Combine like terms: -9 + 9 = 0 0 + 49p = 40 + 9 49p = 40 + 9 Combine like terms: 40 + 9 = 49 49p = 49 Divide each side by '49'. p = 1 Simplifying p = 1
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