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Simplifying 0 = 10 + 7q + -3r + 2q + -1r Reorder the terms: 0 = 10 + 7q + 2q + -3r + -1r Combine like terms: 7q + 2q = 9q 0 = 10 + 9q + -3r + -1r Combine like terms: -3r + -1r = -4r 0 = 10 + 9q + -4r Solving 0 = 10 + 9q + -4r Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 0 + -9q = 10 + 9q + -9q + -4r Remove the zero: -9q = 10 + 9q + -9q + -4r Combine like terms: 9q + -9q = 0 -9q = 10 + 0 + -4r -9q = 10 + -4r Divide each side by '-9'. q = -1.111111111 + 0.4444444444r Simplifying q = -1.111111111 + 0.4444444444r
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