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Simplifying -10.1f + -19.29 = 14.28 + -8.3f + -13.05 Reorder the terms: -19.29 + -10.1f = 14.28 + -8.3f + -13.05 Reorder the terms: -19.29 + -10.1f = 14.28 + -13.05 + -8.3f Combine like terms: 14.28 + -13.05 = 1.23 -19.29 + -10.1f = 1.23 + -8.3f Solving -19.29 + -10.1f = 1.23 + -8.3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8.3f' to each side of the equation. -19.29 + -10.1f + 8.3f = 1.23 + -8.3f + 8.3f Combine like terms: -10.1f + 8.3f = -1.8f -19.29 + -1.8f = 1.23 + -8.3f + 8.3f Combine like terms: -8.3f + 8.3f = 0.0 -19.29 + -1.8f = 1.23 + 0.0 -19.29 + -1.8f = 1.23 Add '19.29' to each side of the equation. -19.29 + 19.29 + -1.8f = 1.23 + 19.29 Combine like terms: -19.29 + 19.29 = 0.00 0.00 + -1.8f = 1.23 + 19.29 -1.8f = 1.23 + 19.29 Combine like terms: 1.23 + 19.29 = 20.52 -1.8f = 20.52 Divide each side by '-1.8'. f = -11.4 Simplifying f = -11.4
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