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Simplifying 3(5 + 6p) + 3(2p + 1) = 0 (5 * 3 + 6p * 3) + 3(2p + 1) = 0 (15 + 18p) + 3(2p + 1) = 0 Reorder the terms: 15 + 18p + 3(1 + 2p) = 0 15 + 18p + (1 * 3 + 2p * 3) = 0 15 + 18p + (3 + 6p) = 0 Reorder the terms: 15 + 3 + 18p + 6p = 0 Combine like terms: 15 + 3 = 18 18 + 18p + 6p = 0 Combine like terms: 18p + 6p = 24p 18 + 24p = 0 Solving 18 + 24p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 24p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 24p = 0 + -18 24p = 0 + -18 Combine like terms: 0 + -18 = -18 24p = -18 Divide each side by '24'. p = -0.75 Simplifying p = -0.75
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