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Simplifying -13p + 9(4p + -9) = 2(10p + 9) Reorder the terms: -13p + 9(-9 + 4p) = 2(10p + 9) -13p + (-9 * 9 + 4p * 9) = 2(10p + 9) -13p + (-81 + 36p) = 2(10p + 9) Reorder the terms: -81 + -13p + 36p = 2(10p + 9) Combine like terms: -13p + 36p = 23p -81 + 23p = 2(10p + 9) Reorder the terms: -81 + 23p = 2(9 + 10p) -81 + 23p = (9 * 2 + 10p * 2) -81 + 23p = (18 + 20p) Solving -81 + 23p = 18 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -81 + 23p + -20p = 18 + 20p + -20p Combine like terms: 23p + -20p = 3p -81 + 3p = 18 + 20p + -20p Combine like terms: 20p + -20p = 0 -81 + 3p = 18 + 0 -81 + 3p = 18 Add '81' to each side of the equation. -81 + 81 + 3p = 18 + 81 Combine like terms: -81 + 81 = 0 0 + 3p = 18 + 81 3p = 18 + 81 Combine like terms: 18 + 81 = 99 3p = 99 Divide each side by '3'. p = 33 Simplifying p = 33
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