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Simplifying 2(p + 3) + 5(p + 2) = -12 Reorder the terms: 2(3 + p) + 5(p + 2) = -12 (3 * 2 + p * 2) + 5(p + 2) = -12 (6 + 2p) + 5(p + 2) = -12 Reorder the terms: 6 + 2p + 5(2 + p) = -12 6 + 2p + (2 * 5 + p * 5) = -12 6 + 2p + (10 + 5p) = -12 Reorder the terms: 6 + 10 + 2p + 5p = -12 Combine like terms: 6 + 10 = 16 16 + 2p + 5p = -12 Combine like terms: 2p + 5p = 7p 16 + 7p = -12 Solving 16 + 7p = -12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7p = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 7p = -12 + -16 7p = -12 + -16 Combine like terms: -12 + -16 = -28 7p = -28 Divide each side by '7'. p = -4 Simplifying p = -4
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