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Simplifying 6(3 + -1p) = -4(2p + -1) (3 * 6 + -1p * 6) = -4(2p + -1) (18 + -6p) = -4(2p + -1) Reorder the terms: 18 + -6p = -4(-1 + 2p) 18 + -6p = (-1 * -4 + 2p * -4) 18 + -6p = (4 + -8p) Solving 18 + -6p = 4 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 18 + -6p + 8p = 4 + -8p + 8p Combine like terms: -6p + 8p = 2p 18 + 2p = 4 + -8p + 8p Combine like terms: -8p + 8p = 0 18 + 2p = 4 + 0 18 + 2p = 4 Add '-18' to each side of the equation. 18 + -18 + 2p = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 2p = 4 + -18 2p = 4 + -18 Combine like terms: 4 + -18 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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