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Simplifying 5.7(3p + 5) + -1.8(4p + -6) = 0 Reorder the terms: 5.7(5 + 3p) + -1.8(4p + -6) = 0 (5 * 5.7 + 3p * 5.7) + -1.8(4p + -6) = 0 (28.5 + 17.1p) + -1.8(4p + -6) = 0 Reorder the terms: 28.5 + 17.1p + -1.8(-6 + 4p) = 0 28.5 + 17.1p + (-6 * -1.8 + 4p * -1.8) = 0 28.5 + 17.1p + (10.8 + -7.2p) = 0 Reorder the terms: 28.5 + 10.8 + 17.1p + -7.2p = 0 Combine like terms: 28.5 + 10.8 = 39.3 39.3 + 17.1p + -7.2p = 0 Combine like terms: 17.1p + -7.2p = 9.9p 39.3 + 9.9p = 0 Solving 39.3 + 9.9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-39.3' to each side of the equation. 39.3 + -39.3 + 9.9p = 0 + -39.3 Combine like terms: 39.3 + -39.3 = 0.0 0.0 + 9.9p = 0 + -39.3 9.9p = 0 + -39.3 Combine like terms: 0 + -39.3 = -39.3 9.9p = -39.3 Divide each side by '9.9'. p = -3.96969697 Simplifying p = -3.96969697
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