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Simplifying -4.4p + 5.9q + -1(6p + 0.4q) + 5.9p = 0 -4.4p + 5.9q + (6p * -1 + 0.4q * -1) + 5.9p = 0 -4.4p + 5.9q + (-6p + -0.4q) + 5.9p = 0 Reorder the terms: -4.4p + -6p + 5.9p + 5.9q + -0.4q = 0 Combine like terms: -4.4p + -6p = -10.4p -10.4p + 5.9p + 5.9q + -0.4q = 0 Combine like terms: -10.4p + 5.9p = -4.5p -4.5p + 5.9q + -0.4q = 0 Combine like terms: 5.9q + -0.4q = 5.5q -4.5p + 5.5q = 0 Solving -4.5p + 5.5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5.5q' to each side of the equation. -4.5p + 5.5q + -5.5q = 0 + -5.5q Combine like terms: 5.5q + -5.5q = 0.0 -4.5p + 0.0 = 0 + -5.5q -4.5p = 0 + -5.5q Remove the zero: -4.5p = -5.5q Divide each side by '-4.5'. p = 1.222222222q Simplifying p = 1.222222222q
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