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Simplifying -5.7(4p + 6) + -2.5(2p + -4) = 0 Reorder the terms: -5.7(6 + 4p) + -2.5(2p + -4) = 0 (6 * -5.7 + 4p * -5.7) + -2.5(2p + -4) = 0 (-34.2 + -22.8p) + -2.5(2p + -4) = 0 Reorder the terms: -34.2 + -22.8p + -2.5(-4 + 2p) = 0 -34.2 + -22.8p + (-4 * -2.5 + 2p * -2.5) = 0 -34.2 + -22.8p + (10 + -5p) = 0 Reorder the terms: -34.2 + 10 + -22.8p + -5p = 0 Combine like terms: -34.2 + 10 = -24.2 -24.2 + -22.8p + -5p = 0 Combine like terms: -22.8p + -5p = -27.8p -24.2 + -27.8p = 0 Solving -24.2 + -27.8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24.2' to each side of the equation. -24.2 + 24.2 + -27.8p = 0 + 24.2 Combine like terms: -24.2 + 24.2 = 0.0 0.0 + -27.8p = 0 + 24.2 -27.8p = 0 + 24.2 Combine like terms: 0 + 24.2 = 24.2 -27.8p = 24.2 Divide each side by '-27.8'. p = -0.8705035971 Simplifying p = -0.8705035971
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