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Simplifying -2(q + 2r + -3e) = 0 Reorder the terms: -2(-3e + q + 2r) = 0 (-3e * -2 + q * -2 + 2r * -2) = 0 (6e + -2q + -4r) = 0 Solving 6e + -2q + -4r = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2q' to each side of the equation. 6e + -2q + 2q + -4r = 0 + 2q Combine like terms: -2q + 2q = 0 6e + 0 + -4r = 0 + 2q 6e + -4r = 0 + 2q Remove the zero: 6e + -4r = 2q Add '4r' to each side of the equation. 6e + -4r + 4r = 2q + 4r Combine like terms: -4r + 4r = 0 6e + 0 = 2q + 4r 6e = 2q + 4r Divide each side by '6'. e = 0.3333333333q + 0.6666666667r Simplifying e = 0.3333333333q + 0.6666666667r
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