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Simplifying 6k + 3[k + 2] = 5k + 12 Reorder the terms: 6k + 3[2 + k] = 5k + 12 6k + [2 * 3 + k * 3] = 5k + 12 6k + [6 + 3k] = 5k + 12 Reorder the terms: 6 + 6k + 3k = 5k + 12 Combine like terms: 6k + 3k = 9k 6 + 9k = 5k + 12 Reorder the terms: 6 + 9k = 12 + 5k Solving 6 + 9k = 12 + 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. 6 + 9k + -5k = 12 + 5k + -5k Combine like terms: 9k + -5k = 4k 6 + 4k = 12 + 5k + -5k Combine like terms: 5k + -5k = 0 6 + 4k = 12 + 0 6 + 4k = 12 Add '-6' to each side of the equation. 6 + -6 + 4k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 4k = 12 + -6 4k = 12 + -6 Combine like terms: 12 + -6 = 6 4k = 6 Divide each side by '4'. k = 1.5 Simplifying k = 1.5
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