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Simplifying -5.9(2p + 5) + -1.4(4p + -6) = 0 Reorder the terms: -5.9(5 + 2p) + -1.4(4p + -6) = 0 (5 * -5.9 + 2p * -5.9) + -1.4(4p + -6) = 0 (-29.5 + -11.8p) + -1.4(4p + -6) = 0 Reorder the terms: -29.5 + -11.8p + -1.4(-6 + 4p) = 0 -29.5 + -11.8p + (-6 * -1.4 + 4p * -1.4) = 0 -29.5 + -11.8p + (8.4 + -5.6p) = 0 Reorder the terms: -29.5 + 8.4 + -11.8p + -5.6p = 0 Combine like terms: -29.5 + 8.4 = -21.1 -21.1 + -11.8p + -5.6p = 0 Combine like terms: -11.8p + -5.6p = -17.4p -21.1 + -17.4p = 0 Solving -21.1 + -17.4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21.1' to each side of the equation. -21.1 + 21.1 + -17.4p = 0 + 21.1 Combine like terms: -21.1 + 21.1 = 0.0 0.0 + -17.4p = 0 + 21.1 -17.4p = 0 + 21.1 Combine like terms: 0 + 21.1 = 21.1 -17.4p = 21.1 Divide each side by '-17.4'. p = -1.212643678 Simplifying p = -1.212643678
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