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Simplifying 5(3p + -2q) = 0 (3p * 5 + -2q * 5) = 0 (15p + -10q) = 0 Solving 15p + -10q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10q' to each side of the equation. 15p + -10q + 10q = 0 + 10q Combine like terms: -10q + 10q = 0 15p + 0 = 0 + 10q 15p = 0 + 10q Remove the zero: 15p = 10q Divide each side by '15'. p = 0.6666666667q Simplifying p = 0.6666666667q
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