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Simplifying 6(2p + -3q) = 0 (2p * 6 + -3q * 6) = 0 (12p + -18q) = 0 Solving 12p + -18q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18q' to each side of the equation. 12p + -18q + 18q = 0 + 18q Combine like terms: -18q + 18q = 0 12p + 0 = 0 + 18q 12p = 0 + 18q Remove the zero: 12p = 18q Divide each side by '12'. p = 1.5q Simplifying p = 1.5q
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