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Simplifying 5g + -1f + 3 + 6g + 3f = 0 Reorder the terms: 3 + -1f + 3f + 5g + 6g = 0 Combine like terms: -1f + 3f = 2f 3 + 2f + 5g + 6g = 0 Combine like terms: 5g + 6g = 11g 3 + 2f + 11g = 0 Solving 3 + 2f + 11g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2f + -3 + 11g = 0 + -3 Reorder the terms: 3 + -3 + 2f + 11g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2f + 11g = 0 + -3 2f + 11g = 0 + -3 Combine like terms: 0 + -3 = -3 2f + 11g = -3 Add '-11g' to each side of the equation. 2f + 11g + -11g = -3 + -11g Combine like terms: 11g + -11g = 0 2f + 0 = -3 + -11g 2f = -3 + -11g Divide each side by '2'. f = -1.5 + -5.5g Simplifying f = -1.5 + -5.5g
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