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Simplifying 9q + -1r + -4q + -9r = 0 Reorder the terms: 9q + -4q + -1r + -9r = 0 Combine like terms: 9q + -4q = 5q 5q + -1r + -9r = 0 Combine like terms: -1r + -9r = -10r 5q + -10r = 0 Solving 5q + -10r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10r' to each side of the equation. 5q + -10r + 10r = 0 + 10r Combine like terms: -10r + 10r = 0 5q + 0 = 0 + 10r 5q = 0 + 10r Remove the zero: 5q = 10r Divide each side by '5'. q = 2r Simplifying q = 2r
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