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Simplifying 7(4.5p + -93.96) = -73.2p + 3(55.9p + -86.94) Reorder the terms: 7(-93.96 + 4.5p) = -73.2p + 3(55.9p + -86.94) (-93.96 * 7 + 4.5p * 7) = -73.2p + 3(55.9p + -86.94) (-657.72 + 31.5p) = -73.2p + 3(55.9p + -86.94) Reorder the terms: -657.72 + 31.5p = -73.2p + 3(-86.94 + 55.9p) -657.72 + 31.5p = -73.2p + (-86.94 * 3 + 55.9p * 3) -657.72 + 31.5p = -73.2p + (-260.82 + 167.7p) Reorder the terms: -657.72 + 31.5p = -260.82 + -73.2p + 167.7p Combine like terms: -73.2p + 167.7p = 94.5p -657.72 + 31.5p = -260.82 + 94.5p Solving -657.72 + 31.5p = -260.82 + 94.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-94.5p' to each side of the equation. -657.72 + 31.5p + -94.5p = -260.82 + 94.5p + -94.5p Combine like terms: 31.5p + -94.5p = -63p -657.72 + -63p = -260.82 + 94.5p + -94.5p Combine like terms: 94.5p + -94.5p = 0.0 -657.72 + -63p = -260.82 + 0.0 -657.72 + -63p = -260.82 Add '657.72' to each side of the equation. -657.72 + 657.72 + -63p = -260.82 + 657.72 Combine like terms: -657.72 + 657.72 = 0.00 0.00 + -63p = -260.82 + 657.72 -63p = -260.82 + 657.72 Combine like terms: -260.82 + 657.72 = 396.9 -63p = 396.9 Divide each side by '-63'. p = -6.3 Simplifying p = -6.3
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