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Simplifying 5p + -4q + 3p + q = 0 Reorder the terms: 5p + 3p + -4q + q = 0 Combine like terms: 5p + 3p = 8p 8p + -4q + q = 0 Combine like terms: -4q + q = -3q 8p + -3q = 0 Solving 8p + -3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 8p + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 8p + 0 = 0 + 3q 8p = 0 + 3q Remove the zero: 8p = 3q Divide each side by '8'. p = 0.375q Simplifying p = 0.375q
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