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Simplifying -5.6(3p + 5) + -1.6(2p + -6) = 0 Reorder the terms: -5.6(5 + 3p) + -1.6(2p + -6) = 0 (5 * -5.6 + 3p * -5.6) + -1.6(2p + -6) = 0 (-28 + -16.8p) + -1.6(2p + -6) = 0 Reorder the terms: -28 + -16.8p + -1.6(-6 + 2p) = 0 -28 + -16.8p + (-6 * -1.6 + 2p * -1.6) = 0 -28 + -16.8p + (9.6 + -3.2p) = 0 Reorder the terms: -28 + 9.6 + -16.8p + -3.2p = 0 Combine like terms: -28 + 9.6 = -18.4 -18.4 + -16.8p + -3.2p = 0 Combine like terms: -16.8p + -3.2p = -20p -18.4 + -20p = 0 Solving -18.4 + -20p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18.4' to each side of the equation. -18.4 + 18.4 + -20p = 0 + 18.4 Combine like terms: -18.4 + 18.4 = 0.0 0.0 + -20p = 0 + 18.4 -20p = 0 + 18.4 Combine like terms: 0 + 18.4 = 18.4 -20p = 18.4 Divide each side by '-20'. p = -0.92 Simplifying p = -0.92
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