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Simplifying 3.2r + -3.8rq + 6.7rq + -12.3 = 0 Reorder the terms: -12.3 + -3.8qr + 6.7qr + 3.2r = 0 Combine like terms: -3.8qr + 6.7qr = 2.9qr -12.3 + 2.9qr + 3.2r = 0 Solving -12.3 + 2.9qr + 3.2r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12.3' to each side of the equation. -12.3 + 2.9qr + 12.3 + 3.2r = 0 + 12.3 Reorder the terms: -12.3 + 12.3 + 2.9qr + 3.2r = 0 + 12.3 Combine like terms: -12.3 + 12.3 = 0.0 0.0 + 2.9qr + 3.2r = 0 + 12.3 2.9qr + 3.2r = 0 + 12.3 Combine like terms: 0 + 12.3 = 12.3 2.9qr + 3.2r = 12.3 Add '-3.2r' to each side of the equation. 2.9qr + 3.2r + -3.2r = 12.3 + -3.2r Combine like terms: 3.2r + -3.2r = 0.0 2.9qr + 0.0 = 12.3 + -3.2r 2.9qr = 12.3 + -3.2r Divide each side by '2.9r'. q = 4.24137931r-1 + -1.103448276 Simplifying q = 4.24137931r-1 + -1.103448276 Reorder the terms: q = -1.103448276 + 4.24137931r-1
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