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Simplifying 9q(4q + -2r + 1) = 36q2 + -1x + 9q Reorder the terms: 9q(1 + 4q + -2r) = 36q2 + -1x + 9q (1 * 9q + 4q * 9q + -2r * 9q) = 36q2 + -1x + 9q Reorder the terms: (9q + -18qr + 36q2) = 36q2 + -1x + 9q (9q + -18qr + 36q2) = 36q2 + -1x + 9q Reorder the terms: 9q + -18qr + 36q2 = 9q + 36q2 + -1x Add '-9q' to each side of the equation. 9q + -18qr + -9q + 36q2 = 9q + 36q2 + -9q + -1x Reorder the terms: 9q + -9q + -18qr + 36q2 = 9q + 36q2 + -9q + -1x Combine like terms: 9q + -9q = 0 0 + -18qr + 36q2 = 9q + 36q2 + -9q + -1x -18qr + 36q2 = 9q + 36q2 + -9q + -1x Reorder the terms: -18qr + 36q2 = 9q + -9q + 36q2 + -1x Combine like terms: 9q + -9q = 0 -18qr + 36q2 = 0 + 36q2 + -1x -18qr + 36q2 = 36q2 + -1x Add '-36q2' to each side of the equation. -18qr + 36q2 + -36q2 = 36q2 + -36q2 + -1x Combine like terms: 36q2 + -36q2 = 0 -18qr + 0 = 36q2 + -36q2 + -1x -18qr = 36q2 + -36q2 + -1x Combine like terms: 36q2 + -36q2 = 0 -18qr = 0 + -1x -18qr = -1x Solving -18qr = -1x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '-18r'. q = 0.05555555556r-1x Simplifying q = 0.05555555556r-1x
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