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Simplifying 2f + 3g + -1f + 4g = 0 Reorder the terms: 2f + -1f + 3g + 4g = 0 Combine like terms: 2f + -1f = 1f 1f + 3g + 4g = 0 Combine like terms: 3g + 4g = 7g 1f + 7g = 0 Solving 1f + 7g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7g' to each side of the equation. 1f + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 1f + 0 = 0 + -7g 1f = 0 + -7g Remove the zero: 1f = -7g Divide each side by '1'. f = -7g Simplifying f = -7g
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