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Simplifying 7(3p + 8) = 2(p + 9) Reorder the terms: 7(8 + 3p) = 2(p + 9) (8 * 7 + 3p * 7) = 2(p + 9) (56 + 21p) = 2(p + 9) Reorder the terms: 56 + 21p = 2(9 + p) 56 + 21p = (9 * 2 + p * 2) 56 + 21p = (18 + 2p) Solving 56 + 21p = 18 + 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. 56 + 21p + -2p = 18 + 2p + -2p Combine like terms: 21p + -2p = 19p 56 + 19p = 18 + 2p + -2p Combine like terms: 2p + -2p = 0 56 + 19p = 18 + 0 56 + 19p = 18 Add '-56' to each side of the equation. 56 + -56 + 19p = 18 + -56 Combine like terms: 56 + -56 = 0 0 + 19p = 18 + -56 19p = 18 + -56 Combine like terms: 18 + -56 = -38 19p = -38 Divide each side by '19'. p = -2 Simplifying p = -2
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