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Simplifying 12 + k + 5k = 5k + 6 Combine like terms: k + 5k = 6k 12 + 6k = 5k + 6 Reorder the terms: 12 + 6k = 6 + 5k Solving 12 + 6k = 6 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 12 + 6k + -5k = 6 + 5k + -5k Combine like terms: 6k + -5k = 1k 12 + 1k = 6 + 5k + -5k Combine like terms: 5k + -5k = 0 12 + 1k = 6 + 0 12 + 1k = 6 Add '-12' to each side of the equation. 12 + -12 + 1k = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1k = 6 + -12 1k = 6 + -12 Combine like terms: 6 + -12 = -6 1k = -6 Divide each side by '1'. k = -6 Simplifying k = -6
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