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Simplifying 6q + 12r + 3q + -11r = 0 Reorder the terms: 6q + 3q + 12r + -11r = 0 Combine like terms: 6q + 3q = 9q 9q + 12r + -11r = 0 Combine like terms: 12r + -11r = 1r 9q + 1r = 0 Solving 9q + 1r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1r' to each side of the equation. 9q + 1r + -1r = 0 + -1r Combine like terms: 1r + -1r = 0 9q + 0 = 0 + -1r 9q = 0 + -1r Remove the zero: 9q = -1r Divide each side by '9'. q = -0.1111111111r Simplifying q = -0.1111111111r
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