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Simplifying 6 + -1k = 2k + -15 Reorder the terms: 6 + -1k = -15 + 2k Solving 6 + -1k = -15 + 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. 6 + -1k + -2k = -15 + 2k + -2k Combine like terms: -1k + -2k = -3k 6 + -3k = -15 + 2k + -2k Combine like terms: 2k + -2k = 0 6 + -3k = -15 + 0 6 + -3k = -15 Add '-6' to each side of the equation. 6 + -6 + -3k = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3k = -15 + -6 -3k = -15 + -6 Combine like terms: -15 + -6 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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