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Simplifying 12f + -7 + 12 + -6f = 2f + 2 + 2f + 12 Reorder the terms: -7 + 12 + 12f + -6f = 2f + 2 + 2f + 12 Combine like terms: -7 + 12 = 5 5 + 12f + -6f = 2f + 2 + 2f + 12 Combine like terms: 12f + -6f = 6f 5 + 6f = 2f + 2 + 2f + 12 Reorder the terms: 5 + 6f = 2 + 12 + 2f + 2f Combine like terms: 2 + 12 = 14 5 + 6f = 14 + 2f + 2f Combine like terms: 2f + 2f = 4f 5 + 6f = 14 + 4f Solving 5 + 6f = 14 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 5 + 6f + -4f = 14 + 4f + -4f Combine like terms: 6f + -4f = 2f 5 + 2f = 14 + 4f + -4f Combine like terms: 4f + -4f = 0 5 + 2f = 14 + 0 5 + 2f = 14 Add '-5' to each side of the equation. 5 + -5 + 2f = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 2f = 14 + -5 2f = 14 + -5 Combine like terms: 14 + -5 = 9 2f = 9 Divide each side by '2'. f = 4.5 Simplifying f = 4.5
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