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Simplifying -14.18 + 8.7f + 18.19 = 10.81 + 9.2f Reorder the terms: -14.18 + 18.19 + 8.7f = 10.81 + 9.2f Combine like terms: -14.18 + 18.19 = 4.01 4.01 + 8.7f = 10.81 + 9.2f Solving 4.01 + 8.7f = 10.81 + 9.2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9.2f' to each side of the equation. 4.01 + 8.7f + -9.2f = 10.81 + 9.2f + -9.2f Combine like terms: 8.7f + -9.2f = -0.5f 4.01 + -0.5f = 10.81 + 9.2f + -9.2f Combine like terms: 9.2f + -9.2f = 0.0 4.01 + -0.5f = 10.81 + 0.0 4.01 + -0.5f = 10.81 Add '-4.01' to each side of the equation. 4.01 + -4.01 + -0.5f = 10.81 + -4.01 Combine like terms: 4.01 + -4.01 = 0.00 0.00 + -0.5f = 10.81 + -4.01 -0.5f = 10.81 + -4.01 Combine like terms: 10.81 + -4.01 = 6.8 -0.5f = 6.8 Divide each side by '-0.5'. f = -13.6 Simplifying f = -13.6
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