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Simplifying 12p + 6(2p + 3) = 9(1 + p) Reorder the terms: 12p + 6(3 + 2p) = 9(1 + p) 12p + (3 * 6 + 2p * 6) = 9(1 + p) 12p + (18 + 12p) = 9(1 + p) Reorder the terms: 18 + 12p + 12p = 9(1 + p) Combine like terms: 12p + 12p = 24p 18 + 24p = 9(1 + p) 18 + 24p = (1 * 9 + p * 9) 18 + 24p = (9 + 9p) Solving 18 + 24p = 9 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 18 + 24p + -9p = 9 + 9p + -9p Combine like terms: 24p + -9p = 15p 18 + 15p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 18 + 15p = 9 + 0 18 + 15p = 9 Add '-18' to each side of the equation. 18 + -18 + 15p = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 15p = 9 + -18 15p = 9 + -18 Combine like terms: 9 + -18 = -9 15p = -9 Divide each side by '15'. p = -0.6 Simplifying p = -0.6
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