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Simplifying -6.9(3p + 5) + -1.9(4p + -6) = 0 Reorder the terms: -6.9(5 + 3p) + -1.9(4p + -6) = 0 (5 * -6.9 + 3p * -6.9) + -1.9(4p + -6) = 0 (-34.5 + -20.7p) + -1.9(4p + -6) = 0 Reorder the terms: -34.5 + -20.7p + -1.9(-6 + 4p) = 0 -34.5 + -20.7p + (-6 * -1.9 + 4p * -1.9) = 0 -34.5 + -20.7p + (11.4 + -7.6p) = 0 Reorder the terms: -34.5 + 11.4 + -20.7p + -7.6p = 0 Combine like terms: -34.5 + 11.4 = -23.1 -23.1 + -20.7p + -7.6p = 0 Combine like terms: -20.7p + -7.6p = -28.3p -23.1 + -28.3p = 0 Solving -23.1 + -28.3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23.1' to each side of the equation. -23.1 + 23.1 + -28.3p = 0 + 23.1 Combine like terms: -23.1 + 23.1 = 0.0 0.0 + -28.3p = 0 + 23.1 -28.3p = 0 + 23.1 Combine like terms: 0 + 23.1 = 23.1 -28.3p = 23.1 Divide each side by '-28.3'. p = -0.816254417 Simplifying p = -0.816254417
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