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Simplifying 2(3q + -1r + s) = 0 (3q * 2 + -1r * 2 + s * 2) = 0 (6q + -2r + 2s) = 0 Solving 6q + -2r + 2s = 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. 6q + -2r + 2r + 2s = 0 + 2r Combine like terms: -2r + 2r = 0 6q + 0 + 2s = 0 + 2r 6q + 2s = 0 + 2r Remove the zero: 6q + 2s = 2r Add '-2s' to each side of the equation. 6q + 2s + -2s = 2r + -2s Combine like terms: 2s + -2s = 0 6q + 0 = 2r + -2s 6q = 2r + -2s Divide each side by '6'. q = 0.3333333333r + -0.3333333333s Simplifying q = 0.3333333333r + -0.3333333333s
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