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Simplifying 19.3f + -16f + 5.24 = 12.71 + 4.2f Reorder the terms: 5.24 + 19.3f + -16f = 12.71 + 4.2f Combine like terms: 19.3f + -16f = 3.3f 5.24 + 3.3f = 12.71 + 4.2f Solving 5.24 + 3.3f = 12.71 + 4.2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4.2f' to each side of the equation. 5.24 + 3.3f + -4.2f = 12.71 + 4.2f + -4.2f Combine like terms: 3.3f + -4.2f = -0.9f 5.24 + -0.9f = 12.71 + 4.2f + -4.2f Combine like terms: 4.2f + -4.2f = 0.0 5.24 + -0.9f = 12.71 + 0.0 5.24 + -0.9f = 12.71 Add '-5.24' to each side of the equation. 5.24 + -5.24 + -0.9f = 12.71 + -5.24 Combine like terms: 5.24 + -5.24 = 0.00 0.00 + -0.9f = 12.71 + -5.24 -0.9f = 12.71 + -5.24 Combine like terms: 12.71 + -5.24 = 7.47 -0.9f = 7.47 Divide each side by '-0.9'. f = -8.3 Simplifying f = -8.3
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