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Simplifying 3(2p + q) + -1q + 5p = 0 (2p * 3 + q * 3) + -1q + 5p = 0 (6p + 3q) + -1q + 5p = 0 Reorder the terms: 6p + 5p + 3q + -1q = 0 Combine like terms: 6p + 5p = 11p 11p + 3q + -1q = 0 Combine like terms: 3q + -1q = 2q 11p + 2q = 0 Solving 11p + 2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. 11p + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 11p + 0 = 0 + -2q 11p = 0 + -2q Remove the zero: 11p = -2q Divide each side by '11'. p = -0.1818181818q Simplifying p = -0.1818181818q
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