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Simplifying -5.7(4p + 6) + -1.4(2p + -5) = 0 Reorder the terms: -5.7(6 + 4p) + -1.4(2p + -5) = 0 (6 * -5.7 + 4p * -5.7) + -1.4(2p + -5) = 0 (-34.2 + -22.8p) + -1.4(2p + -5) = 0 Reorder the terms: -34.2 + -22.8p + -1.4(-5 + 2p) = 0 -34.2 + -22.8p + (-5 * -1.4 + 2p * -1.4) = 0 -34.2 + -22.8p + (7 + -2.8p) = 0 Reorder the terms: -34.2 + 7 + -22.8p + -2.8p = 0 Combine like terms: -34.2 + 7 = -27.2 -27.2 + -22.8p + -2.8p = 0 Combine like terms: -22.8p + -2.8p = -25.6p -27.2 + -25.6p = 0 Solving -27.2 + -25.6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27.2' to each side of the equation. -27.2 + 27.2 + -25.6p = 0 + 27.2 Combine like terms: -27.2 + 27.2 = 0.0 0.0 + -25.6p = 0 + 27.2 -25.6p = 0 + 27.2 Combine like terms: 0 + 27.2 = 27.2 -25.6p = 27.2 Divide each side by '-25.6'. p = -1.0625 Simplifying p = -1.0625
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