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Simplifying 4f + 6g + -2g + 6f = 0 Reorder the terms: 4f + 6f + 6g + -2g = 0 Combine like terms: 4f + 6f = 10f 10f + 6g + -2g = 0 Combine like terms: 6g + -2g = 4g 10f + 4g = 0 Solving 10f + 4g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4g' to each side of the equation. 10f + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 10f + 0 = 0 + -4g 10f = 0 + -4g Remove the zero: 10f = -4g Divide each side by '10'. f = -0.4g Simplifying f = -0.4g
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