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Simplifying -15p + -9(2p + -9) = -3(12p + -18) Reorder the terms: -15p + -9(-9 + 2p) = -3(12p + -18) -15p + (-9 * -9 + 2p * -9) = -3(12p + -18) -15p + (81 + -18p) = -3(12p + -18) Reorder the terms: 81 + -15p + -18p = -3(12p + -18) Combine like terms: -15p + -18p = -33p 81 + -33p = -3(12p + -18) Reorder the terms: 81 + -33p = -3(-18 + 12p) 81 + -33p = (-18 * -3 + 12p * -3) 81 + -33p = (54 + -36p) Solving 81 + -33p = 54 + -36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36p' to each side of the equation. 81 + -33p + 36p = 54 + -36p + 36p Combine like terms: -33p + 36p = 3p 81 + 3p = 54 + -36p + 36p Combine like terms: -36p + 36p = 0 81 + 3p = 54 + 0 81 + 3p = 54 Add '-81' to each side of the equation. 81 + -81 + 3p = 54 + -81 Combine like terms: 81 + -81 = 0 0 + 3p = 54 + -81 3p = 54 + -81 Combine like terms: 54 + -81 = -27 3p = -27 Divide each side by '3'. p = -9 Simplifying p = -9
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