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Simplifying -5.8(2p + 4) + -1.6(3p + -5) = 0 Reorder the terms: -5.8(4 + 2p) + -1.6(3p + -5) = 0 (4 * -5.8 + 2p * -5.8) + -1.6(3p + -5) = 0 (-23.2 + -11.6p) + -1.6(3p + -5) = 0 Reorder the terms: -23.2 + -11.6p + -1.6(-5 + 3p) = 0 -23.2 + -11.6p + (-5 * -1.6 + 3p * -1.6) = 0 -23.2 + -11.6p + (8 + -4.8p) = 0 Reorder the terms: -23.2 + 8 + -11.6p + -4.8p = 0 Combine like terms: -23.2 + 8 = -15.2 -15.2 + -11.6p + -4.8p = 0 Combine like terms: -11.6p + -4.8p = -16.4p -15.2 + -16.4p = 0 Solving -15.2 + -16.4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15.2' to each side of the equation. -15.2 + 15.2 + -16.4p = 0 + 15.2 Combine like terms: -15.2 + 15.2 = 0.0 0.0 + -16.4p = 0 + 15.2 -16.4p = 0 + 15.2 Combine like terms: 0 + 15.2 = 15.2 -16.4p = 15.2 Divide each side by '-16.4'. p = -0.9268292683 Simplifying p = -0.9268292683
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