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Simplifying 1 + -1k = -8 + -1k + 3k Combine like terms: -1k + 3k = 2k 1 + -1k = -8 + 2k Solving 1 + -1k = -8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 1 + -1k + -2k = -8 + 2k + -2k Combine like terms: -1k + -2k = -3k 1 + -3k = -8 + 2k + -2k Combine like terms: 2k + -2k = 0 1 + -3k = -8 + 0 1 + -3k = -8 Add '-1' to each side of the equation. 1 + -1 + -3k = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = -8 + -1 -3k = -8 + -1 Combine like terms: -8 + -1 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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