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Simplifying 6f + -4g + -2f + 7g = 0 Reorder the terms: 6f + -2f + -4g + 7g = 0 Combine like terms: 6f + -2f = 4f 4f + -4g + 7g = 0 Combine like terms: -4g + 7g = 3g 4f + 3g = 0 Solving 4f + 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. 4f + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 4f + 0 = 0 + -3g 4f = 0 + -3g Remove the zero: 4f = -3g Divide each side by '4'. f = -0.75g Simplifying f = -0.75g
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