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Simplifying -6.7(4p + 6) + -1.7(3p + -5) = 0 Reorder the terms: -6.7(6 + 4p) + -1.7(3p + -5) = 0 (6 * -6.7 + 4p * -6.7) + -1.7(3p + -5) = 0 (-40.2 + -26.8p) + -1.7(3p + -5) = 0 Reorder the terms: -40.2 + -26.8p + -1.7(-5 + 3p) = 0 -40.2 + -26.8p + (-5 * -1.7 + 3p * -1.7) = 0 -40.2 + -26.8p + (8.5 + -5.1p) = 0 Reorder the terms: -40.2 + 8.5 + -26.8p + -5.1p = 0 Combine like terms: -40.2 + 8.5 = -31.7 -31.7 + -26.8p + -5.1p = 0 Combine like terms: -26.8p + -5.1p = -31.9p -31.7 + -31.9p = 0 Solving -31.7 + -31.9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '31.7' to each side of the equation. -31.7 + 31.7 + -31.9p = 0 + 31.7 Combine like terms: -31.7 + 31.7 = 0.0 0.0 + -31.9p = 0 + 31.7 -31.9p = 0 + 31.7 Combine like terms: 0 + 31.7 = 31.7 -31.9p = 31.7 Divide each side by '-31.9'. p = -0.9937304075 Simplifying p = -0.9937304075
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