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Simplifying -6.4(3p + 5) + -2.4(2p + -6) = 0 Reorder the terms: -6.4(5 + 3p) + -2.4(2p + -6) = 0 (5 * -6.4 + 3p * -6.4) + -2.4(2p + -6) = 0 (-32 + -19.2p) + -2.4(2p + -6) = 0 Reorder the terms: -32 + -19.2p + -2.4(-6 + 2p) = 0 -32 + -19.2p + (-6 * -2.4 + 2p * -2.4) = 0 -32 + -19.2p + (14.4 + -4.8p) = 0 Reorder the terms: -32 + 14.4 + -19.2p + -4.8p = 0 Combine like terms: -32 + 14.4 = -17.6 -17.6 + -19.2p + -4.8p = 0 Combine like terms: -19.2p + -4.8p = -24p -17.6 + -24p = 0 Solving -17.6 + -24p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17.6' to each side of the equation. -17.6 + 17.6 + -24p = 0 + 17.6 Combine like terms: -17.6 + 17.6 = 0.0 0.0 + -24p = 0 + 17.6 -24p = 0 + 17.6 Combine like terms: 0 + 17.6 = 17.6 -24p = 17.6 Divide each side by '-24'. p = -0.7333333333 Simplifying p = -0.7333333333
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