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Simplifying 57 = k + -42 Reorder the terms: 57 = -42 + k Solving 57 = -42 + 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. 57 + -1k = -42 + k + -1k Combine like terms: k + -1k = 0 57 + -1k = -42 + 0 57 + -1k = -42 Add '-57' to each side of the equation. 57 + -57 + -1k = -42 + -57 Combine like terms: 57 + -57 = 0 0 + -1k = -42 + -57 -1k = -42 + -57 Combine like terms: -42 + -57 = -99 -1k = -99 Divide each side by '-1'. k = 99 Simplifying k = 99
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