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Simplifying -15 = 12(4p + -5) + -9(6p + -9) Reorder the terms: -15 = 12(-5 + 4p) + -9(6p + -9) -15 = (-5 * 12 + 4p * 12) + -9(6p + -9) -15 = (-60 + 48p) + -9(6p + -9) Reorder the terms: -15 = -60 + 48p + -9(-9 + 6p) -15 = -60 + 48p + (-9 * -9 + 6p * -9) -15 = -60 + 48p + (81 + -54p) Reorder the terms: -15 = -60 + 81 + 48p + -54p Combine like terms: -60 + 81 = 21 -15 = 21 + 48p + -54p Combine like terms: 48p + -54p = -6p -15 = 21 + -6p Solving -15 = 21 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -15 + 6p = 21 + -6p + 6p Combine like terms: -6p + 6p = 0 -15 + 6p = 21 + 0 -15 + 6p = 21 Add '15' to each side of the equation. -15 + 15 + 6p = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 6p = 21 + 15 6p = 21 + 15 Combine like terms: 21 + 15 = 36 6p = 36 Divide each side by '6'. p = 6 Simplifying p = 6
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