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Simplifying -5.74(3.1 + -2.7p) = 1.09p + 5.2588 (3.1 * -5.74 + -2.7p * -5.74) = 1.09p + 5.2588 (-17.794 + 15.498p) = 1.09p + 5.2588 Reorder the terms: -17.794 + 15.498p = 5.2588 + 1.09p Solving -17.794 + 15.498p = 5.2588 + 1.09p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.09p' to each side of the equation. -17.794 + 15.498p + -1.09p = 5.2588 + 1.09p + -1.09p Combine like terms: 15.498p + -1.09p = 14.408p -17.794 + 14.408p = 5.2588 + 1.09p + -1.09p Combine like terms: 1.09p + -1.09p = 0.00 -17.794 + 14.408p = 5.2588 + 0.00 -17.794 + 14.408p = 5.2588 Add '17.794' to each side of the equation. -17.794 + 17.794 + 14.408p = 5.2588 + 17.794 Combine like terms: -17.794 + 17.794 = 0.000 0.000 + 14.408p = 5.2588 + 17.794 14.408p = 5.2588 + 17.794 Combine like terms: 5.2588 + 17.794 = 23.0528 14.408p = 23.0528 Divide each side by '14.408'. p = 1.6 Simplifying p = 1.6
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