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Simplifying 6k + 18 + -3k = k + 10 Reorder the terms: 18 + 6k + -3k = k + 10 Combine like terms: 6k + -3k = 3k 18 + 3k = k + 10 Reorder the terms: 18 + 3k = 10 + k Solving 18 + 3k = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 18 + 3k + -1k = 10 + k + -1k Combine like terms: 3k + -1k = 2k 18 + 2k = 10 + k + -1k Combine like terms: k + -1k = 0 18 + 2k = 10 + 0 18 + 2k = 10 Add '-18' to each side of the equation. 18 + -18 + 2k = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 10 + -18 2k = 10 + -18 Combine like terms: 10 + -18 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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