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Simplifying 5(p + 3) + 9 = 3(6 + -2) + 6 Reorder the terms: 5(3 + p) + 9 = 3(6 + -2) + 6 (3 * 5 + p * 5) + 9 = 3(6 + -2) + 6 (15 + 5p) + 9 = 3(6 + -2) + 6 Reorder the terms: 15 + 9 + 5p = 3(6 + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5p = 3(6 + -2) + 6 Combine like terms: 6 + -2 = 4 24 + 5p = 3(4) + 6 Multiply 3 * 4 24 + 5p = 12 + 6 Combine like terms: 12 + 6 = 18 24 + 5p = 18 Solving 24 + 5p = 18 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5p = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 5p = 18 + -24 5p = 18 + -24 Combine like terms: 18 + -24 = -6 5p = -6 Divide each side by '5'. p = -1.2 Simplifying p = -1.2
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