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Simplifying 4f + 5g + -2f + g = 0 Reorder the terms: 4f + -2f + 5g + g = 0 Combine like terms: 4f + -2f = 2f 2f + 5g + g = 0 Combine like terms: 5g + g = 6g 2f + 6g = 0 Solving 2f + 6g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6g' to each side of the equation. 2f + 6g + -6g = 0 + -6g Combine like terms: 6g + -6g = 0 2f + 0 = 0 + -6g 2f = 0 + -6g Remove the zero: 2f = -6g Divide each side by '2'. f = -3g Simplifying f = -3g
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