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Simplifying 191.8 = 1.8(k + -273.15) + 32 Reorder the terms: 191.8 = 1.8(-273.15 + k) + 32 191.8 = (-273.15 * 1.8 + k * 1.8) + 32 191.8 = (-491.67 + 1.8k) + 32 Reorder the terms: 191.8 = -491.67 + 32 + 1.8k Combine like terms: -491.67 + 32 = -459.67 191.8 = -459.67 + 1.8k Solving 191.8 = -459.67 + 1.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.8k' to each side of the equation. 191.8 + -1.8k = -459.67 + 1.8k + -1.8k Combine like terms: 1.8k + -1.8k = 0.0 191.8 + -1.8k = -459.67 + 0.0 191.8 + -1.8k = -459.67 Add '-191.8' to each side of the equation. 191.8 + -191.8 + -1.8k = -459.67 + -191.8 Combine like terms: 191.8 + -191.8 = 0.0 0.0 + -1.8k = -459.67 + -191.8 -1.8k = -459.67 + -191.8 Combine like terms: -459.67 + -191.8 = -651.47 -1.8k = -651.47 Divide each side by '-1.8'. k = 361.9277778 Simplifying k = 361.9277778
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