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Simplifying 9.3f + 17.55 + 9.7f = 10.9f + -12.42 Reorder the terms: 17.55 + 9.3f + 9.7f = 10.9f + -12.42 Combine like terms: 9.3f + 9.7f = 19f 17.55 + 19f = 10.9f + -12.42 Reorder the terms: 17.55 + 19f = -12.42 + 10.9f Solving 17.55 + 19f = -12.42 + 10.9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10.9f' to each side of the equation. 17.55 + 19f + -10.9f = -12.42 + 10.9f + -10.9f Combine like terms: 19f + -10.9f = 8.1f 17.55 + 8.1f = -12.42 + 10.9f + -10.9f Combine like terms: 10.9f + -10.9f = 0.0 17.55 + 8.1f = -12.42 + 0.0 17.55 + 8.1f = -12.42 Add '-17.55' to each side of the equation. 17.55 + -17.55 + 8.1f = -12.42 + -17.55 Combine like terms: 17.55 + -17.55 = 0.00 0.00 + 8.1f = -12.42 + -17.55 8.1f = -12.42 + -17.55 Combine like terms: -12.42 + -17.55 = -29.97 8.1f = -29.97 Divide each side by '8.1'. f = -3.7 Simplifying f = -3.7
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