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Simplifying 5(p + 2) + 2(p + 3) = 0 Reorder the terms: 5(2 + p) + 2(p + 3) = 0 (2 * 5 + p * 5) + 2(p + 3) = 0 (10 + 5p) + 2(p + 3) = 0 Reorder the terms: 10 + 5p + 2(3 + p) = 0 10 + 5p + (3 * 2 + p * 2) = 0 10 + 5p + (6 + 2p) = 0 Reorder the terms: 10 + 6 + 5p + 2p = 0 Combine like terms: 10 + 6 = 16 16 + 5p + 2p = 0 Combine like terms: 5p + 2p = 7p 16 + 7p = 0 Solving 16 + 7p = 0 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 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7p = 0 + -16 7p = 0 + -16 Combine like terms: 0 + -16 = -16 7p = -16 Divide each side by '7'. p = -2.285714286 Simplifying p = -2.285714286
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