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Simplifying 5(p + 4) + -96 = 7(p + -9) + 3 Reorder the terms: 5(4 + p) + -96 = 7(p + -9) + 3 (4 * 5 + p * 5) + -96 = 7(p + -9) + 3 (20 + 5p) + -96 = 7(p + -9) + 3 Reorder the terms: 20 + -96 + 5p = 7(p + -9) + 3 Combine like terms: 20 + -96 = -76 -76 + 5p = 7(p + -9) + 3 Reorder the terms: -76 + 5p = 7(-9 + p) + 3 -76 + 5p = (-9 * 7 + p * 7) + 3 -76 + 5p = (-63 + 7p) + 3 Reorder the terms: -76 + 5p = -63 + 3 + 7p Combine like terms: -63 + 3 = -60 -76 + 5p = -60 + 7p Solving -76 + 5p = -60 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -76 + 5p + -7p = -60 + 7p + -7p Combine like terms: 5p + -7p = -2p -76 + -2p = -60 + 7p + -7p Combine like terms: 7p + -7p = 0 -76 + -2p = -60 + 0 -76 + -2p = -60 Add '76' to each side of the equation. -76 + 76 + -2p = -60 + 76 Combine like terms: -76 + 76 = 0 0 + -2p = -60 + 76 -2p = -60 + 76 Combine like terms: -60 + 76 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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