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Simplifying 5f + 3 + 6g + -2f + 3g + -7 = 0 Reorder the terms: 3 + -7 + 5f + -2f + 6g + 3g = 0 Combine like terms: 3 + -7 = -4 -4 + 5f + -2f + 6g + 3g = 0 Combine like terms: 5f + -2f = 3f -4 + 3f + 6g + 3g = 0 Combine like terms: 6g + 3g = 9g -4 + 3f + 9g = 0 Solving -4 + 3f + 9g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3f + 4 + 9g = 0 + 4 Reorder the terms: -4 + 4 + 3f + 9g = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3f + 9g = 0 + 4 3f + 9g = 0 + 4 Combine like terms: 0 + 4 = 4 3f + 9g = 4 Add '-9g' to each side of the equation. 3f + 9g + -9g = 4 + -9g Combine like terms: 9g + -9g = 0 3f + 0 = 4 + -9g 3f = 4 + -9g Divide each side by '3'. f = 1.333333333 + -3g Simplifying f = 1.333333333 + -3g
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