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Simplifying 3(p + 2q) + 3(5p + -2q) = 0 (p * 3 + 2q * 3) + 3(5p + -2q) = 0 (3p + 6q) + 3(5p + -2q) = 0 3p + 6q + (5p * 3 + -2q * 3) = 0 3p + 6q + (15p + -6q) = 0 Reorder the terms: 3p + 15p + 6q + -6q = 0 Combine like terms: 3p + 15p = 18p 18p + 6q + -6q = 0 Combine like terms: 6q + -6q = 0 18p + 0 = 0 18p = 0 Solving 18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '18'. p = 0 Simplifying p = 0
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