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Simplifying -2k + 28 = 21k + 49 Reorder the terms: 28 + -2k = 21k + 49 Reorder the terms: 28 + -2k = 49 + 21k Solving 28 + -2k = 49 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 28 + -2k + -21k = 49 + 21k + -21k Combine like terms: -2k + -21k = -23k 28 + -23k = 49 + 21k + -21k Combine like terms: 21k + -21k = 0 28 + -23k = 49 + 0 28 + -23k = 49 Add '-28' to each side of the equation. 28 + -28 + -23k = 49 + -28 Combine like terms: 28 + -28 = 0 0 + -23k = 49 + -28 -23k = 49 + -28 Combine like terms: 49 + -28 = 21 -23k = 21 Divide each side by '-23'. k = -0.9130434783 Simplifying k = -0.9130434783
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