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Simplifying -5.7(3p + 5) + -1.1(4p + -6) = 0 Reorder the terms: -5.7(5 + 3p) + -1.1(4p + -6) = 0 (5 * -5.7 + 3p * -5.7) + -1.1(4p + -6) = 0 (-28.5 + -17.1p) + -1.1(4p + -6) = 0 Reorder the terms: -28.5 + -17.1p + -1.1(-6 + 4p) = 0 -28.5 + -17.1p + (-6 * -1.1 + 4p * -1.1) = 0 -28.5 + -17.1p + (6.6 + -4.4p) = 0 Reorder the terms: -28.5 + 6.6 + -17.1p + -4.4p = 0 Combine like terms: -28.5 + 6.6 = -21.9 -21.9 + -17.1p + -4.4p = 0 Combine like terms: -17.1p + -4.4p = -21.5p -21.9 + -21.5p = 0 Solving -21.9 + -21.5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21.9' to each side of the equation. -21.9 + 21.9 + -21.5p = 0 + 21.9 Combine like terms: -21.9 + 21.9 = 0.0 0.0 + -21.5p = 0 + 21.9 -21.5p = 0 + 21.9 Combine like terms: 0 + 21.9 = 21.9 -21.5p = 21.9 Divide each side by '-21.5'. p = -1.018604651 Simplifying p = -1.018604651
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