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Simplifying 61 = 4 + k + 12 + -2 Reorder the terms: 61 = 4 + 12 + -2 + k Combine like terms: 4 + 12 = 16 61 = 16 + -2 + k Combine like terms: 16 + -2 = 14 61 = 14 + k Solving 61 = 14 + 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. 61 + -1k = 14 + k + -1k Combine like terms: k + -1k = 0 61 + -1k = 14 + 0 61 + -1k = 14 Add '-61' to each side of the equation. 61 + -61 + -1k = 14 + -61 Combine like terms: 61 + -61 = 0 0 + -1k = 14 + -61 -1k = 14 + -61 Combine like terms: 14 + -61 = -47 -1k = -47 Divide each side by '-1'. k = 47 Simplifying k = 47
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