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Simplifying 9q(4q + 2r + -1) = 36q2 + -17 + -9q Reorder the terms: 9q(-1 + 4q + 2r) = 36q2 + -17 + -9q (-1 * 9q + 4q * 9q + 2r * 9q) = 36q2 + -17 + -9q Reorder the terms: (-9q + 18qr + 36q2) = 36q2 + -17 + -9q (-9q + 18qr + 36q2) = 36q2 + -17 + -9q Reorder the terms: -9q + 18qr + 36q2 = -17 + -9q + 36q2 Add '9q' to each side of the equation. -9q + 18qr + 9q + 36q2 = -17 + -9q + 9q + 36q2 Reorder the terms: -9q + 9q + 18qr + 36q2 = -17 + -9q + 9q + 36q2 Combine like terms: -9q + 9q = 0 0 + 18qr + 36q2 = -17 + -9q + 9q + 36q2 18qr + 36q2 = -17 + -9q + 9q + 36q2 Combine like terms: -9q + 9q = 0 18qr + 36q2 = -17 + 0 + 36q2 18qr + 36q2 = -17 + 36q2 Add '-36q2' to each side of the equation. 18qr + 36q2 + -36q2 = -17 + 36q2 + -36q2 Combine like terms: 36q2 + -36q2 = 0 18qr + 0 = -17 + 36q2 + -36q2 18qr = -17 + 36q2 + -36q2 Combine like terms: 36q2 + -36q2 = 0 18qr = -17 + 0 18qr = -17 Solving 18qr = -17 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '18r'. q = -0.9444444444r-1 Simplifying q = -0.9444444444r-1
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