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Simplifying -5.8(4p + 6) + -2.5(2p + -4) = 0 Reorder the terms: -5.8(6 + 4p) + -2.5(2p + -4) = 0 (6 * -5.8 + 4p * -5.8) + -2.5(2p + -4) = 0 (-34.8 + -23.2p) + -2.5(2p + -4) = 0 Reorder the terms: -34.8 + -23.2p + -2.5(-4 + 2p) = 0 -34.8 + -23.2p + (-4 * -2.5 + 2p * -2.5) = 0 -34.8 + -23.2p + (10 + -5p) = 0 Reorder the terms: -34.8 + 10 + -23.2p + -5p = 0 Combine like terms: -34.8 + 10 = -24.8 -24.8 + -23.2p + -5p = 0 Combine like terms: -23.2p + -5p = -28.2p -24.8 + -28.2p = 0 Solving -24.8 + -28.2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24.8' to each side of the equation. -24.8 + 24.8 + -28.2p = 0 + 24.8 Combine like terms: -24.8 + 24.8 = 0.0 0.0 + -28.2p = 0 + 24.8 -28.2p = 0 + 24.8 Combine like terms: 0 + 24.8 = 24.8 -28.2p = 24.8 Divide each side by '-28.2'. p = -0.8794326241 Simplifying p = -0.8794326241
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