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Simplifying 1 + 6k = 10 + -3k Solving 1 + 6k = 10 + -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. 1 + 6k + 3k = 10 + -3k + 3k Combine like terms: 6k + 3k = 9k 1 + 9k = 10 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + 9k = 10 + 0 1 + 9k = 10 Add '-1' to each side of the equation. 1 + -1 + 9k = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 9k = 10 + -1 9k = 10 + -1 Combine like terms: 10 + -1 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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