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Simplifying 1k + 47 = 2k + 24 Reorder the terms: 47 + 1k = 2k + 24 Reorder the terms: 47 + 1k = 24 + 2k Solving 47 + 1k = 24 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 47 + 1k + -2k = 24 + 2k + -2k Combine like terms: 1k + -2k = -1k 47 + -1k = 24 + 2k + -2k Combine like terms: 2k + -2k = 0 47 + -1k = 24 + 0 47 + -1k = 24 Add '-47' to each side of the equation. 47 + -47 + -1k = 24 + -47 Combine like terms: 47 + -47 = 0 0 + -1k = 24 + -47 -1k = 24 + -47 Combine like terms: 24 + -47 = -23 -1k = -23 Divide each side by '-1'. k = 23 Simplifying k = 23
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