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Simplifying 10(p + -10) = 9(p + 9) Reorder the terms: 10(-10 + p) = 9(p + 9) (-10 * 10 + p * 10) = 9(p + 9) (-100 + 10p) = 9(p + 9) Reorder the terms: -100 + 10p = 9(9 + p) -100 + 10p = (9 * 9 + p * 9) -100 + 10p = (81 + 9p) Solving -100 + 10p = 81 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -100 + 10p + -9p = 81 + 9p + -9p Combine like terms: 10p + -9p = 1p -100 + 1p = 81 + 9p + -9p Combine like terms: 9p + -9p = 0 -100 + 1p = 81 + 0 -100 + 1p = 81 Add '100' to each side of the equation. -100 + 100 + 1p = 81 + 100 Combine like terms: -100 + 100 = 0 0 + 1p = 81 + 100 1p = 81 + 100 Combine like terms: 81 + 100 = 181 1p = 181 Divide each side by '1'. p = 181 Simplifying p = 181
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