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Simplifying -1.2f + -19.75 + 11.4f = 14.2f + 19.85 Reorder the terms: -19.75 + -1.2f + 11.4f = 14.2f + 19.85 Combine like terms: -1.2f + 11.4f = 10.2f -19.75 + 10.2f = 14.2f + 19.85 Reorder the terms: -19.75 + 10.2f = 19.85 + 14.2f Solving -19.75 + 10.2f = 19.85 + 14.2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14.2f' to each side of the equation. -19.75 + 10.2f + -14.2f = 19.85 + 14.2f + -14.2f Combine like terms: 10.2f + -14.2f = -4f -19.75 + -4f = 19.85 + 14.2f + -14.2f Combine like terms: 14.2f + -14.2f = 0.0 -19.75 + -4f = 19.85 + 0.0 -19.75 + -4f = 19.85 Add '19.75' to each side of the equation. -19.75 + 19.75 + -4f = 19.85 + 19.75 Combine like terms: -19.75 + 19.75 = 0.00 0.00 + -4f = 19.85 + 19.75 -4f = 19.85 + 19.75 Combine like terms: 19.85 + 19.75 = 39.6 -4f = 39.6 Divide each side by '-4'. f = -9.9 Simplifying f = -9.9
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