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Simplifying 42 = k + -12 Reorder the terms: 42 = -12 + k Solving 42 = -12 + 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. 42 + -1k = -12 + k + -1k Combine like terms: k + -1k = 0 42 + -1k = -12 + 0 42 + -1k = -12 Add '-42' to each side of the equation. 42 + -42 + -1k = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -1k = -12 + -42 -1k = -12 + -42 Combine like terms: -12 + -42 = -54 -1k = -54 Divide each side by '-1'. k = 54 Simplifying k = 54
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