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Simplifying -14 = -7 + k + 10 Reorder the terms: -14 = -7 + 10 + k Combine like terms: -7 + 10 = 3 -14 = 3 + k Solving -14 = 3 + 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. -14 + -1k = 3 + k + -1k Combine like terms: k + -1k = 0 -14 + -1k = 3 + 0 -14 + -1k = 3 Add '14' to each side of the equation. -14 + 14 + -1k = 3 + 14 Combine like terms: -14 + 14 = 0 0 + -1k = 3 + 14 -1k = 3 + 14 Combine like terms: 3 + 14 = 17 -1k = 17 Divide each side by '-1'. k = -17 Simplifying k = -17
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