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Simplifying 12 + 5 = k + 49 Combine like terms: 12 + 5 = 17 17 = k + 49 Reorder the terms: 17 = 49 + k Solving 17 = 49 + 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. 17 + -1k = 49 + k + -1k Combine like terms: k + -1k = 0 17 + -1k = 49 + 0 17 + -1k = 49 Add '-17' to each side of the equation. 17 + -17 + -1k = 49 + -17 Combine like terms: 17 + -17 = 0 0 + -1k = 49 + -17 -1k = 49 + -17 Combine like terms: 49 + -17 = 32 -1k = 32 Divide each side by '-1'. k = -32 Simplifying k = -32
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