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Simplifying 3k + -2 = k + 10 Reorder the terms: -2 + 3k = k + 10 Reorder the terms: -2 + 3k = 10 + k Solving -2 + 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. -2 + 3k + -1k = 10 + k + -1k Combine like terms: 3k + -1k = 2k -2 + 2k = 10 + k + -1k Combine like terms: k + -1k = 0 -2 + 2k = 10 + 0 -2 + 2k = 10 Add '2' to each side of the equation. -2 + 2 + 2k = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = 10 + 2 2k = 10 + 2 Combine like terms: 10 + 2 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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