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Simplifying 4.6 + 2.7 = 4p + 10.6 + -39 Combine like terms: 4.6 + 2.7 = 7.3 7.3 = 4p + 10.6 + -39 Reorder the terms: 7.3 = 10.6 + -39 + 4p Combine like terms: 10.6 + -39 = -28.4 7.3 = -28.4 + 4p Solving 7.3 = -28.4 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7.3 + -4p = -28.4 + 4p + -4p Combine like terms: 4p + -4p = 0 7.3 + -4p = -28.4 + 0 7.3 + -4p = -28.4 Add '-7.3' to each side of the equation. 7.3 + -7.3 + -4p = -28.4 + -7.3 Combine like terms: 7.3 + -7.3 = 0.0 0.0 + -4p = -28.4 + -7.3 -4p = -28.4 + -7.3 Combine like terms: -28.4 + -7.3 = -35.7 -4p = -35.7 Divide each side by '-4'. p = 8.925 Simplifying p = 8.925
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