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Simplifying 3(6 + -1p + 7p) = 12 + -2p Combine like terms: -1p + 7p = 6p 3(6 + 6p) = 12 + -2p (6 * 3 + 6p * 3) = 12 + -2p (18 + 18p) = 12 + -2p Solving 18 + 18p = 12 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 18 + 18p + 2p = 12 + -2p + 2p Combine like terms: 18p + 2p = 20p 18 + 20p = 12 + -2p + 2p Combine like terms: -2p + 2p = 0 18 + 20p = 12 + 0 18 + 20p = 12 Add '-18' to each side of the equation. 18 + -18 + 20p = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 20p = 12 + -18 20p = 12 + -18 Combine like terms: 12 + -18 = -6 20p = -6 Divide each side by '20'. p = -0.3 Simplifying p = -0.3
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