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Simplifying 7q + 12r + 3q + 11r = 0 Reorder the terms: 7q + 3q + 12r + 11r = 0 Combine like terms: 7q + 3q = 10q 10q + 12r + 11r = 0 Combine like terms: 12r + 11r = 23r 10q + 23r = 0 Solving 10q + 23r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23r' to each side of the equation. 10q + 23r + -23r = 0 + -23r Combine like terms: 23r + -23r = 0 10q + 0 = 0 + -23r 10q = 0 + -23r Remove the zero: 10q = -23r Divide each side by '10'. q = -2.3r Simplifying q = -2.3r
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