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Simplifying 3f + 2g + -1f + 5g = 0 Reorder the terms: 3f + -1f + 2g + 5g = 0 Combine like terms: 3f + -1f = 2f 2f + 2g + 5g = 0 Combine like terms: 2g + 5g = 7g 2f + 7g = 0 Solving 2f + 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. 2f + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 2f + 0 = 0 + -7g 2f = 0 + -7g Remove the zero: 2f = -7g Divide each side by '2'. f = -3.5g Simplifying f = -3.5g
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