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Simplifying 2q + -2r = 5q + 2s Solving 2q + -2r = 5q + 2s 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. 2q + -5q + -2r = 5q + -5q + 2s Combine like terms: 2q + -5q = -3q -3q + -2r = 5q + -5q + 2s Combine like terms: 5q + -5q = 0 -3q + -2r = 0 + 2s -3q + -2r = 2s Add '2r' to each side of the equation. -3q + -2r + 2r = 2r + 2s Combine like terms: -2r + 2r = 0 -3q + 0 = 2r + 2s -3q = 2r + 2s Divide each side by '-3'. q = -0.6666666667r + -0.6666666667s Simplifying q = -0.6666666667r + -0.6666666667s
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