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Simplifying -5.1(2p + 4) + -1.4(3p + -5) = 0 Reorder the terms: -5.1(4 + 2p) + -1.4(3p + -5) = 0 (4 * -5.1 + 2p * -5.1) + -1.4(3p + -5) = 0 (-20.4 + -10.2p) + -1.4(3p + -5) = 0 Reorder the terms: -20.4 + -10.2p + -1.4(-5 + 3p) = 0 -20.4 + -10.2p + (-5 * -1.4 + 3p * -1.4) = 0 -20.4 + -10.2p + (7 + -4.2p) = 0 Reorder the terms: -20.4 + 7 + -10.2p + -4.2p = 0 Combine like terms: -20.4 + 7 = -13.4 -13.4 + -10.2p + -4.2p = 0 Combine like terms: -10.2p + -4.2p = -14.4p -13.4 + -14.4p = 0 Solving -13.4 + -14.4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13.4' to each side of the equation. -13.4 + 13.4 + -14.4p = 0 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + -14.4p = 0 + 13.4 -14.4p = 0 + 13.4 Combine like terms: 0 + 13.4 = 13.4 -14.4p = 13.4 Divide each side by '-14.4'. p = -0.9305555556 Simplifying p = -0.9305555556
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