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Simplifying 3f + 5g = 3g + f Reorder the terms: 3f + 5g = f + 3g Solving 3f + 5g = 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. 3f + -1f + 5g = f + -1f + 3g Combine like terms: 3f + -1f = 2f 2f + 5g = f + -1f + 3g Combine like terms: f + -1f = 0 2f + 5g = 0 + 3g 2f + 5g = 3g Add '-5g' to each side of the equation. 2f + 5g + -5g = 3g + -5g Combine like terms: 5g + -5g = 0 2f + 0 = 3g + -5g 2f = 3g + -5g Combine like terms: 3g + -5g = -2g 2f = -2g Divide each side by '2'. f = -1g Simplifying f = -1g
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