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Simplifying 4q + -9r + 1q + -4r = 0 Reorder the terms: 4q + 1q + -9r + -4r = 0 Combine like terms: 4q + 1q = 5q 5q + -9r + -4r = 0 Combine like terms: -9r + -4r = -13r 5q + -13r = 0 Solving 5q + -13r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '13r' to each side of the equation. 5q + -13r + 13r = 0 + 13r Combine like terms: -13r + 13r = 0 5q + 0 = 0 + 13r 5q = 0 + 13r Remove the zero: 5q = 13r Divide each side by '5'. q = 2.6r Simplifying q = 2.6r
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