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Simplifying 2f + 3g + 4f + 6g = 0 Reorder the terms: 2f + 4f + 3g + 6g = 0 Combine like terms: 2f + 4f = 6f 6f + 3g + 6g = 0 Combine like terms: 3g + 6g = 9g 6f + 9g = 0 Solving 6f + 9g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9g' to each side of the equation. 6f + 9g + -9g = 0 + -9g Combine like terms: 9g + -9g = 0 6f + 0 = 0 + -9g 6f = 0 + -9g Remove the zero: 6f = -9g Divide each side by '6'. f = -1.5g Simplifying f = -1.5g
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