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