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Simplifying 6q + 2r + -1q + 7r = 0 Reorder the terms: 6q + -1q + 2r + 7r = 0 Combine like terms: 6q + -1q = 5q 5q + 2r + 7r = 0 Combine like terms: 2r + 7r = 9r 5q + 9r = 0 Solving 5q + 9r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9r' to each side of the equation. 5q + 9r + -9r = 0 + -9r Combine like terms: 9r + -9r = 0 5q + 0 = 0 + -9r 5q = 0 + -9r Remove the zero: 5q = -9r Divide each side by '5'. q = -1.8r Simplifying q = -1.8r
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