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Simplifying 2f + -3g + 5g + -6f = 0 Reorder the terms: 2f + -6f + -3g + 5g = 0 Combine like terms: 2f + -6f = -4f -4f + -3g + 5g = 0 Combine like terms: -3g + 5g = 2g -4f + 2g = 0 Solving -4f + 2g = 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 = 0 + -2g Combine like terms: 2g + -2g = 0 -4f + 0 = 0 + -2g -4f = 0 + -2g Remove the zero: -4f = -2g Divide each side by '-4'. f = 0.5g Simplifying f = 0.5g
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