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Simplifying 2e + -2f + -3g + 4f = 0 Reorder the terms: 2e + -2f + 4f + -3g = 0 Combine like terms: -2f + 4f = 2f 2e + 2f + -3g = 0 Solving 2e + 2f + -3g = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2f' to each side of the equation. 2e + 2f + -2f + -3g = 0 + -2f Combine like terms: 2f + -2f = 0 2e + 0 + -3g = 0 + -2f 2e + -3g = 0 + -2f Remove the zero: 2e + -3g = -2f Add '3g' to each side of the equation. 2e + -3g + 3g = -2f + 3g Combine like terms: -3g + 3g = 0 2e + 0 = -2f + 3g 2e = -2f + 3g Divide each side by '2'. e = -1f + 1.5g Simplifying e = -1f + 1.5g
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