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Simplifying 191.8 = 9(k + -273.15) + 288 Reorder the terms: 191.8 = 9(-273.15 + k) + 288 191.8 = (-273.15 * 9 + k * 9) + 288 191.8 = (-2458.35 + 9k) + 288 Reorder the terms: 191.8 = -2458.35 + 288 + 9k Combine like terms: -2458.35 + 288 = -2170.35 191.8 = -2170.35 + 9k Solving 191.8 = -2170.35 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 191.8 + -9k = -2170.35 + 9k + -9k Combine like terms: 9k + -9k = 0 191.8 + -9k = -2170.35 + 0 191.8 + -9k = -2170.35 Add '-191.8' to each side of the equation. 191.8 + -191.8 + -9k = -2170.35 + -191.8 Combine like terms: 191.8 + -191.8 = 0.0 0.0 + -9k = -2170.35 + -191.8 -9k = -2170.35 + -191.8 Combine like terms: -2170.35 + -191.8 = -2362.15 -9k = -2362.15 Divide each side by '-9'. k = 262.4611111 Simplifying k = 262.4611111
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