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Simplifying 3(5 + 6p) + (2p + 1) = 0 (5 * 3 + 6p * 3) + (2p + 1) = 0 (15 + 18p) + (2p + 1) = 0 Reorder the terms: 15 + 18p + (1 + 2p) = 0 Remove parenthesis around (1 + 2p) 15 + 18p + 1 + 2p = 0 Reorder the terms: 15 + 1 + 18p + 2p = 0 Combine like terms: 15 + 1 = 16 16 + 18p + 2p = 0 Combine like terms: 18p + 2p = 20p 16 + 20p = 0 Solving 16 + 20p = 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 + 20p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 20p = 0 + -16 20p = 0 + -16 Combine like terms: 0 + -16 = -16 20p = -16 Divide each side by '20'. p = -0.8 Simplifying p = -0.8
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