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Simplifying F + -7 + 3f + -2g + 8 = 0 Reorder the terms: -7 + 8 + F + 3f + -2g = 0 Combine like terms: -7 + 8 = 1 1 + F + 3f + -2g = 0 Solving 1 + F + 3f + -2g = 0 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + F + 3f + -1 + -2g = 0 + -1 Reorder the terms: 1 + -1 + F + 3f + -2g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + F + 3f + -2g = 0 + -1 F + 3f + -2g = 0 + -1 Combine like terms: 0 + -1 = -1 F + 3f + -2g = -1 Add '-3f' to each side of the equation. F + 3f + -3f + -2g = -1 + -3f Combine like terms: 3f + -3f = 0 F + 0 + -2g = -1 + -3f F + -2g = -1 + -3f Add '2g' to each side of the equation. F + -2g + 2g = -1 + -3f + 2g Combine like terms: -2g + 2g = 0 F + 0 = -1 + -3f + 2g F = -1 + -3f + 2g Simplifying F = -1 + -3f + 2g
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