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Simplifying 9 = 3(4 + -3p) + 3(p + -3) 9 = (4 * 3 + -3p * 3) + 3(p + -3) 9 = (12 + -9p) + 3(p + -3) Reorder the terms: 9 = 12 + -9p + 3(-3 + p) 9 = 12 + -9p + (-3 * 3 + p * 3) 9 = 12 + -9p + (-9 + 3p) Reorder the terms: 9 = 12 + -9 + -9p + 3p Combine like terms: 12 + -9 = 3 9 = 3 + -9p + 3p Combine like terms: -9p + 3p = -6p 9 = 3 + -6p Solving 9 = 3 + -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. 9 + 6p = 3 + -6p + 6p Combine like terms: -6p + 6p = 0 9 + 6p = 3 + 0 9 + 6p = 3 Add '-9' to each side of the equation. 9 + -9 + 6p = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 6p = 3 + -9 6p = 3 + -9 Combine like terms: 3 + -9 = -6 6p = -6 Divide each side by '6'. p = -1 Simplifying p = -1
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