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Simplifying k + 45 + k = -55 + 800 Reorder the terms: 45 + k + k = -55 + 800 Combine like terms: k + k = 2k 45 + 2k = -55 + 800 Combine like terms: -55 + 800 = 745 45 + 2k = 745 Solving 45 + 2k = 745 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 2k = 745 + -45 Combine like terms: 45 + -45 = 0 0 + 2k = 745 + -45 2k = 745 + -45 Combine like terms: 745 + -45 = 700 2k = 700 Divide each side by '2'. k = 350 Simplifying k = 350
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