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Simplifying 5p + 3(p + -1q) + -1q = 0 5p + (p * 3 + -1q * 3) + -1q = 0 5p + (3p + -3q) + -1q = 0 Combine like terms: 5p + 3p = 8p 8p + -3q + -1q = 0 Combine like terms: -3q + -1q = -4q 8p + -4q = 0 Solving 8p + -4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. 8p + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 8p + 0 = 0 + 4q 8p = 0 + 4q Remove the zero: 8p = 4q Divide each side by '8'. p = 0.5q Simplifying p = 0.5q
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