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Simplifying 13g + 9 + -3f + 2 + -12g = 0 Reorder the terms: 9 + 2 + -3f + 13g + -12g = 0 Combine like terms: 9 + 2 = 11 11 + -3f + 13g + -12g = 0 Combine like terms: 13g + -12g = 1g 11 + -3f + 1g = 0 Solving 11 + -3f + 1g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -3f + -11 + 1g = 0 + -11 Reorder the terms: 11 + -11 + -3f + 1g = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3f + 1g = 0 + -11 -3f + 1g = 0 + -11 Combine like terms: 0 + -11 = -11 -3f + 1g = -11 Add '-1g' to each side of the equation. -3f + 1g + -1g = -11 + -1g Combine like terms: 1g + -1g = 0 -3f + 0 = -11 + -1g -3f = -11 + -1g Divide each side by '-3'. f = 3.666666667 + 0.3333333333g Simplifying f = 3.666666667 + 0.3333333333g
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