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Simplifying 3f + -2g + -1f + 4g + -6h + 2f = 0 Reorder the terms: 3f + -1f + 2f + -2g + 4g + -6h = 0 Combine like terms: 3f + -1f = 2f 2f + 2f + -2g + 4g + -6h = 0 Combine like terms: 2f + 2f = 4f 4f + -2g + 4g + -6h = 0 Combine like terms: -2g + 4g = 2g 4f + 2g + -6h = 0 Solving 4f + 2g + -6h = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2g' to each side of the equation. 4f + 2g + -2g + -6h = 0 + -2g Combine like terms: 2g + -2g = 0 4f + 0 + -6h = 0 + -2g 4f + -6h = 0 + -2g Remove the zero: 4f + -6h = -2g Add '6h' to each side of the equation. 4f + -6h + 6h = -2g + 6h Combine like terms: -6h + 6h = 0 4f + 0 = -2g + 6h 4f = -2g + 6h Divide each side by '4'. f = -0.5g + 1.5h Simplifying f = -0.5g + 1.5h
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