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Simplifying 9 + k = 1 + -1k Solving 9 + k = 1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 9 + k + k = 1 + -1k + k Combine like terms: k + k = 2k 9 + 2k = 1 + -1k + k Combine like terms: -1k + k = 0 9 + 2k = 1 + 0 9 + 2k = 1 Add '-9' to each side of the equation. 9 + -9 + 2k = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 2k = 1 + -9 2k = 1 + -9 Combine like terms: 1 + -9 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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