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Simplifying 6f + 5 + -2f + 12 = 8 + -22 Reorder the terms: 5 + 12 + 6f + -2f = 8 + -22 Combine like terms: 5 + 12 = 17 17 + 6f + -2f = 8 + -22 Combine like terms: 6f + -2f = 4f 17 + 4f = 8 + -22 Combine like terms: 8 + -22 = -14 17 + 4f = -14 Solving 17 + 4f = -14 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4f = -14 + -17 Combine like terms: 17 + -17 = 0 0 + 4f = -14 + -17 4f = -14 + -17 Combine like terms: -14 + -17 = -31 4f = -31 Divide each side by '4'. f = -7.75 Simplifying f = -7.75
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