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Simplifying 12q + r + -8q + 5r = 0 Reorder the terms: 12q + -8q + r + 5r = 0 Combine like terms: 12q + -8q = 4q 4q + r + 5r = 0 Combine like terms: r + 5r = 6r 4q + 6r = 0 Solving 4q + 6r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6r' to each side of the equation. 4q + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 4q + 0 = 0 + -6r 4q = 0 + -6r Remove the zero: 4q = -6r Divide each side by '4'. q = -1.5r Simplifying q = -1.5r
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