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Simplifying 4r + -1q = 12 + 8r + 5q Reorder the terms: -1q + 4r = 12 + 8r + 5q Reorder the terms: -1q + 4r = 12 + 5q + 8r Solving -1q + 4r = 12 + 5q + 8r Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -1q + -5q + 4r = 12 + 5q + -5q + 8r Combine like terms: -1q + -5q = -6q -6q + 4r = 12 + 5q + -5q + 8r Combine like terms: 5q + -5q = 0 -6q + 4r = 12 + 0 + 8r -6q + 4r = 12 + 8r Add '-4r' to each side of the equation. -6q + 4r + -4r = 12 + 8r + -4r Combine like terms: 4r + -4r = 0 -6q + 0 = 12 + 8r + -4r -6q = 12 + 8r + -4r Combine like terms: 8r + -4r = 4r -6q = 12 + 4r Divide each side by '-6'. q = -2 + -0.6666666667r Simplifying q = -2 + -0.6666666667r
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