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Simplifying 9(3 + -2p) = 2(10 + -8p) (3 * 9 + -2p * 9) = 2(10 + -8p) (27 + -18p) = 2(10 + -8p) 27 + -18p = (10 * 2 + -8p * 2) 27 + -18p = (20 + -16p) Solving 27 + -18p = 20 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 27 + -18p + 16p = 20 + -16p + 16p Combine like terms: -18p + 16p = -2p 27 + -2p = 20 + -16p + 16p Combine like terms: -16p + 16p = 0 27 + -2p = 20 + 0 27 + -2p = 20 Add '-27' to each side of the equation. 27 + -27 + -2p = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -2p = 20 + -27 -2p = 20 + -27 Combine like terms: 20 + -27 = -7 -2p = -7 Divide each side by '-2'. p = 3.5 Simplifying p = 3.5
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