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Simplifying -7.9(1 + -5p) = 2.4p + 2.8(p + 4.3) (1 * -7.9 + -5p * -7.9) = 2.4p + 2.8(p + 4.3) (-7.9 + 39.5p) = 2.4p + 2.8(p + 4.3) Reorder the terms: -7.9 + 39.5p = 2.4p + 2.8(4.3 + p) -7.9 + 39.5p = 2.4p + (4.3 * 2.8 + p * 2.8) -7.9 + 39.5p = 2.4p + (12.04 + 2.8p) Reorder the terms: -7.9 + 39.5p = 12.04 + 2.4p + 2.8p Combine like terms: 2.4p + 2.8p = 5.2p -7.9 + 39.5p = 12.04 + 5.2p Solving -7.9 + 39.5p = 12.04 + 5.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5.2p' to each side of the equation. -7.9 + 39.5p + -5.2p = 12.04 + 5.2p + -5.2p Combine like terms: 39.5p + -5.2p = 34.3p -7.9 + 34.3p = 12.04 + 5.2p + -5.2p Combine like terms: 5.2p + -5.2p = 0.0 -7.9 + 34.3p = 12.04 + 0.0 -7.9 + 34.3p = 12.04 Add '7.9' to each side of the equation. -7.9 + 7.9 + 34.3p = 12.04 + 7.9 Combine like terms: -7.9 + 7.9 = 0.0 0.0 + 34.3p = 12.04 + 7.9 34.3p = 12.04 + 7.9 Combine like terms: 12.04 + 7.9 = 19.94 34.3p = 19.94 Divide each side by '34.3'. p = 0.5813411079 Simplifying p = 0.5813411079
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