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Simplifying 7(8 + -1p) = 5(9 + -1p) + 19 (8 * 7 + -1p * 7) = 5(9 + -1p) + 19 (56 + -7p) = 5(9 + -1p) + 19 56 + -7p = (9 * 5 + -1p * 5) + 19 56 + -7p = (45 + -5p) + 19 Reorder the terms: 56 + -7p = 45 + 19 + -5p Combine like terms: 45 + 19 = 64 56 + -7p = 64 + -5p Solving 56 + -7p = 64 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 56 + -7p + 5p = 64 + -5p + 5p Combine like terms: -7p + 5p = -2p 56 + -2p = 64 + -5p + 5p Combine like terms: -5p + 5p = 0 56 + -2p = 64 + 0 56 + -2p = 64 Add '-56' to each side of the equation. 56 + -56 + -2p = 64 + -56 Combine like terms: 56 + -56 = 0 0 + -2p = 64 + -56 -2p = 64 + -56 Combine like terms: 64 + -56 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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