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Simplifying 6f + 9g = 3g + f Reorder the terms: 6f + 9g = f + 3g Solving 6f + 9g = f + 3g Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 6f + -1f + 9g = f + -1f + 3g Combine like terms: 6f + -1f = 5f 5f + 9g = f + -1f + 3g Combine like terms: f + -1f = 0 5f + 9g = 0 + 3g 5f + 9g = 3g Add '-9g' to each side of the equation. 5f + 9g + -9g = 3g + -9g Combine like terms: 9g + -9g = 0 5f + 0 = 3g + -9g 5f = 3g + -9g Combine like terms: 3g + -9g = -6g 5f = -6g Divide each side by '5'. f = -1.2g Simplifying f = -1.2g
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