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Simplifying -6.8(3p + 5) + -1.7(2p + -6) = 0 Reorder the terms: -6.8(5 + 3p) + -1.7(2p + -6) = 0 (5 * -6.8 + 3p * -6.8) + -1.7(2p + -6) = 0 (-34 + -20.4p) + -1.7(2p + -6) = 0 Reorder the terms: -34 + -20.4p + -1.7(-6 + 2p) = 0 -34 + -20.4p + (-6 * -1.7 + 2p * -1.7) = 0 -34 + -20.4p + (10.2 + -3.4p) = 0 Reorder the terms: -34 + 10.2 + -20.4p + -3.4p = 0 Combine like terms: -34 + 10.2 = -23.8 -23.8 + -20.4p + -3.4p = 0 Combine like terms: -20.4p + -3.4p = -23.8p -23.8 + -23.8p = 0 Solving -23.8 + -23.8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23.8' to each side of the equation. -23.8 + 23.8 + -23.8p = 0 + 23.8 Combine like terms: -23.8 + 23.8 = 0.0 0.0 + -23.8p = 0 + 23.8 -23.8p = 0 + 23.8 Combine like terms: 0 + 23.8 = 23.8 -23.8p = 23.8 Divide each side by '-23.8'. p = -1 Simplifying p = -1
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