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Simplifying 6k + -14 = 3k + 16 Reorder the terms: -14 + 6k = 3k + 16 Reorder the terms: -14 + 6k = 16 + 3k Solving -14 + 6k = 16 + 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. -14 + 6k + -3k = 16 + 3k + -3k Combine like terms: 6k + -3k = 3k -14 + 3k = 16 + 3k + -3k Combine like terms: 3k + -3k = 0 -14 + 3k = 16 + 0 -14 + 3k = 16 Add '14' to each side of the equation. -14 + 14 + 3k = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 3k = 16 + 14 3k = 16 + 14 Combine like terms: 16 + 14 = 30 3k = 30 Divide each side by '3'. k = 10 Simplifying k = 10
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