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Simplifying 6[2k + 7] = 0 Reorder the terms: 6[7 + 2k] = 0 [7 * 6 + 2k * 6] = 0 [42 + 12k] = 0 Solving 42 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 12k = 0 + -42 12k = 0 + -42 Combine like terms: 0 + -42 = -42 12k = -42 Divide each side by '12'. k = -3.5 Simplifying k = -3.5
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