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Simplifying 100 + -1k = k + -342 Reorder the terms: 100 + -1k = -342 + k Solving 100 + -1k = -342 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 100 + -1k + -1k = -342 + k + -1k Combine like terms: -1k + -1k = -2k 100 + -2k = -342 + k + -1k Combine like terms: k + -1k = 0 100 + -2k = -342 + 0 100 + -2k = -342 Add '-100' to each side of the equation. 100 + -100 + -2k = -342 + -100 Combine like terms: 100 + -100 = 0 0 + -2k = -342 + -100 -2k = -342 + -100 Combine like terms: -342 + -100 = -442 -2k = -442 Divide each side by '-2'. k = 221 Simplifying k = 221
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