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Simplifying 12.4f + 14 = 6f + -2 Reorder the terms: 14 + 12.4f = 6f + -2 Reorder the terms: 14 + 12.4f = -2 + 6f Solving 14 + 12.4f = -2 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 14 + 12.4f + -6f = -2 + 6f + -6f Combine like terms: 12.4f + -6f = 6.4f 14 + 6.4f = -2 + 6f + -6f Combine like terms: 6f + -6f = 0 14 + 6.4f = -2 + 0 14 + 6.4f = -2 Add '-14' to each side of the equation. 14 + -14 + 6.4f = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 6.4f = -2 + -14 6.4f = -2 + -14 Combine like terms: -2 + -14 = -16 6.4f = -16 Divide each side by '6.4'. f = -2.5 Simplifying f = -2.5
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