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