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Simplifying 0.6(6e + 9f + -21g) = 0 (6e * 0.6 + 9f * 0.6 + -21g * 0.6) = 0 (3.6e + 5.4f + -12.6g) = 0 Solving 3.6e + 5.4f + -12.6g = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5.4f' to each side of the equation. 3.6e + 5.4f + -5.4f + -12.6g = 0 + -5.4f Combine like terms: 5.4f + -5.4f = 0.0 3.6e + 0.0 + -12.6g = 0 + -5.4f 3.6e + -12.6g = 0 + -5.4f Remove the zero: 3.6e + -12.6g = -5.4f Add '12.6g' to each side of the equation. 3.6e + -12.6g + 12.6g = -5.4f + 12.6g Combine like terms: -12.6g + 12.6g = 0.0 3.6e + 0.0 = -5.4f + 12.6g 3.6e = -5.4f + 12.6g Divide each side by '3.6'. e = -1.5f + 3.5g Simplifying e = -1.5f + 3.5g
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