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Simplifying 10 + 6k = 1 + 2k + -5k Combine like terms: 2k + -5k = -3k 10 + 6k = 1 + -3k Solving 10 + 6k = 1 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 10 + 6k + 3k = 1 + -3k + 3k Combine like terms: 6k + 3k = 9k 10 + 9k = 1 + -3k + 3k Combine like terms: -3k + 3k = 0 10 + 9k = 1 + 0 10 + 9k = 1 Add '-10' to each side of the equation. 10 + -10 + 9k = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 9k = 1 + -10 9k = 1 + -10 Combine like terms: 1 + -10 = -9 9k = -9 Divide each side by '9'. k = -1 Simplifying k = -1
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