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Simplifying 3r(s + 2q) + rq = 0 Reorder the terms: 3r(2q + s) + rq = 0 (2q * 3r + s * 3r) + rq = 0 (6qr + 3rs) + rq = 0 Reorder the terms: 6qr + qr + 3rs = 0 Combine like terms: 6qr + qr = 7qr 7qr + 3rs = 0 Solving 7qr + 3rs = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3rs' to each side of the equation. 7qr + 3rs + -3rs = 0 + -3rs Combine like terms: 3rs + -3rs = 0 7qr + 0 = 0 + -3rs 7qr = 0 + -3rs Remove the zero: 7qr = -3rs Divide each side by '7r'. q = -0.4285714286s Simplifying q = -0.4285714286s
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