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Simplifying 51 = f + 5.50 + 6 + -3.50 Reorder the terms: 51 = 5.50 + 6 + -3.50 + f Combine like terms: 5.50 + 6 = 11.5 51 = 11.5 + -3.50 + f Combine like terms: 11.5 + -3.50 = 8 51 = 8 + f Solving 51 = 8 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 51 + -1f = 8 + f + -1f Combine like terms: f + -1f = 0 51 + -1f = 8 + 0 51 + -1f = 8 Add '-51' to each side of the equation. 51 + -51 + -1f = 8 + -51 Combine like terms: 51 + -51 = 0 0 + -1f = 8 + -51 -1f = 8 + -51 Combine like terms: 8 + -51 = -43 -1f = -43 Divide each side by '-1'. f = 43 Simplifying f = 43
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