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Simplifying 3f + 6g + -4g + f = 0 Reorder the terms: 3f + f + 6g + -4g = 0 Combine like terms: 3f + f = 4f 4f + 6g + -4g = 0 Combine like terms: 6g + -4g = 2g 4f + 2g = 0 Solving 4f + 2g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2g' to each side of the equation. 4f + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 4f + 0 = 0 + -2g 4f = 0 + -2g Remove the zero: 4f = -2g Divide each side by '4'. f = -0.5g Simplifying f = -0.5g
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