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Simplifying 2f + -3f + 9g + 2g + -2f + f = 0 Reorder the terms: 2f + -3f + -2f + f + 9g + 2g = 0 Combine like terms: 2f + -3f = -1f -1f + -2f + f + 9g + 2g = 0 Combine like terms: -1f + -2f = -3f -3f + f + 9g + 2g = 0 Combine like terms: -3f + f = -2f -2f + 9g + 2g = 0 Combine like terms: 9g + 2g = 11g -2f + 11g = 0 Solving -2f + 11g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11g' to each side of the equation. -2f + 11g + -11g = 0 + -11g Combine like terms: 11g + -11g = 0 -2f + 0 = 0 + -11g -2f = 0 + -11g Remove the zero: -2f = -11g Divide each side by '-2'. f = 5.5g Simplifying f = 5.5g
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