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Simplifying -5.7(3p + 5) + -1.6(4p + -6) = 0 Reorder the terms: -5.7(5 + 3p) + -1.6(4p + -6) = 0 (5 * -5.7 + 3p * -5.7) + -1.6(4p + -6) = 0 (-28.5 + -17.1p) + -1.6(4p + -6) = 0 Reorder the terms: -28.5 + -17.1p + -1.6(-6 + 4p) = 0 -28.5 + -17.1p + (-6 * -1.6 + 4p * -1.6) = 0 -28.5 + -17.1p + (9.6 + -6.4p) = 0 Reorder the terms: -28.5 + 9.6 + -17.1p + -6.4p = 0 Combine like terms: -28.5 + 9.6 = -18.9 -18.9 + -17.1p + -6.4p = 0 Combine like terms: -17.1p + -6.4p = -23.5p -18.9 + -23.5p = 0 Solving -18.9 + -23.5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18.9' to each side of the equation. -18.9 + 18.9 + -23.5p = 0 + 18.9 Combine like terms: -18.9 + 18.9 = 0.0 0.0 + -23.5p = 0 + 18.9 -23.5p = 0 + 18.9 Combine like terms: 0 + 18.9 = 18.9 -23.5p = 18.9 Divide each side by '-23.5'. p = -0.8042553191 Simplifying p = -0.8042553191
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