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Simplifying 10 + -1k = 2k + -2 Reorder the terms: 10 + -1k = -2 + 2k Solving 10 + -1k = -2 + 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. 10 + -1k + -2k = -2 + 2k + -2k Combine like terms: -1k + -2k = -3k 10 + -3k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + -3k = -2 + 0 10 + -3k = -2 Add '-10' to each side of the equation. 10 + -10 + -3k = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = -2 + -10 -3k = -2 + -10 Combine like terms: -2 + -10 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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