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Simplifying 6 + -1k + -1k = 1 + -1k + -2 Combine like terms: -1k + -1k = -2k 6 + -2k = 1 + -1k + -2 Reorder the terms: 6 + -2k = 1 + -2 + -1k Combine like terms: 1 + -2 = -1 6 + -2k = -1 + -1k Solving 6 + -2k = -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. 6 + -2k + k = -1 + -1k + k Combine like terms: -2k + k = -1k 6 + -1k = -1 + -1k + k Combine like terms: -1k + k = 0 6 + -1k = -1 + 0 6 + -1k = -1 Add '-6' to each side of the equation. 6 + -6 + -1k = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = -1 + -6 -1k = -1 + -6 Combine like terms: -1 + -6 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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