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Simplifying 51 = k + -42 Reorder the terms: 51 = -42 + k Solving 51 = -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. 51 + -1k = -42 + k + -1k Combine like terms: k + -1k = 0 51 + -1k = -42 + 0 51 + -1k = -42 Add '-51' to each side of the equation. 51 + -51 + -1k = -42 + -51 Combine like terms: 51 + -51 = 0 0 + -1k = -42 + -51 -1k = -42 + -51 Combine like terms: -42 + -51 = -93 -1k = -93 Divide each side by '-1'. k = 93 Simplifying k = 93
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