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Simplifying 2(2q + 2r) + 2(3q + -3r) = 0 (2q * 2 + 2r * 2) + 2(3q + -3r) = 0 (4q + 4r) + 2(3q + -3r) = 0 4q + 4r + (3q * 2 + -3r * 2) = 0 4q + 4r + (6q + -6r) = 0 Reorder the terms: 4q + 6q + 4r + -6r = 0 Combine like terms: 4q + 6q = 10q 10q + 4r + -6r = 0 Combine like terms: 4r + -6r = -2r 10q + -2r = 0 Solving 10q + -2r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2r' to each side of the equation. 10q + -2r + 2r = 0 + 2r Combine like terms: -2r + 2r = 0 10q + 0 = 0 + 2r 10q = 0 + 2r Remove the zero: 10q = 2r Divide each side by '10'. q = 0.2r Simplifying q = 0.2r
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