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Simplifying 77.35 = 1.8(f + -32) + 273.15 Reorder the terms: 77.35 = 1.8(-32 + f) + 273.15 77.35 = (-32 * 1.8 + f * 1.8) + 273.15 77.35 = (-57.6 + 1.8f) + 273.15 Reorder the terms: 77.35 = -57.6 + 273.15 + 1.8f Combine like terms: -57.6 + 273.15 = 215.55 77.35 = 215.55 + 1.8f Solving 77.35 = 215.55 + 1.8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1.8f' to each side of the equation. 77.35 + -1.8f = 215.55 + 1.8f + -1.8f Combine like terms: 1.8f + -1.8f = 0.0 77.35 + -1.8f = 215.55 + 0.0 77.35 + -1.8f = 215.55 Add '-77.35' to each side of the equation. 77.35 + -77.35 + -1.8f = 215.55 + -77.35 Combine like terms: 77.35 + -77.35 = 0.00 0.00 + -1.8f = 215.55 + -77.35 -1.8f = 215.55 + -77.35 Combine like terms: 215.55 + -77.35 = 138.2 -1.8f = 138.2 Divide each side by '-1.8'. f = -76.77777778 Simplifying f = -76.77777778
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