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Simplifying 7(8 + 5p) = 23 + 2p (8 * 7 + 5p * 7) = 23 + 2p (56 + 35p) = 23 + 2p Solving 56 + 35p = 23 + 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 + 35p + -2p = 23 + 2p + -2p Combine like terms: 35p + -2p = 33p 56 + 33p = 23 + 2p + -2p Combine like terms: 2p + -2p = 0 56 + 33p = 23 + 0 56 + 33p = 23 Add '-56' to each side of the equation. 56 + -56 + 33p = 23 + -56 Combine like terms: 56 + -56 = 0 0 + 33p = 23 + -56 33p = 23 + -56 Combine like terms: 23 + -56 = -33 33p = -33 Divide each side by '33'. p = -1 Simplifying p = -1
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