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Simplifying 5.78 + -1.5f = -1f + -9.59 + 19.82 Reorder the terms: 5.78 + -1.5f = -9.59 + 19.82 + -1f Combine like terms: -9.59 + 19.82 = 10.23 5.78 + -1.5f = 10.23 + -1f Solving 5.78 + -1.5f = 10.23 + -1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'f' to each side of the equation. 5.78 + -1.5f + f = 10.23 + -1f + f Combine like terms: -1.5f + f = -0.5f 5.78 + -0.5f = 10.23 + -1f + f Combine like terms: -1f + f = 0 5.78 + -0.5f = 10.23 + 0 5.78 + -0.5f = 10.23 Add '-5.78' to each side of the equation. 5.78 + -5.78 + -0.5f = 10.23 + -5.78 Combine like terms: 5.78 + -5.78 = 0.00 0.00 + -0.5f = 10.23 + -5.78 -0.5f = 10.23 + -5.78 Combine like terms: 10.23 + -5.78 = 4.45 -0.5f = 4.45 Divide each side by '-0.5'. f = -8.9 Simplifying f = -8.9
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