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Simplifying 6(2k + 4) + 10 = 12 Reorder the terms: 6(4 + 2k) + 10 = 12 (4 * 6 + 2k * 6) + 10 = 12 (24 + 12k) + 10 = 12 Reorder the terms: 24 + 10 + 12k = 12 Combine like terms: 24 + 10 = 34 34 + 12k = 12 Solving 34 + 12k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 12k = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 12k = 12 + -34 12k = 12 + -34 Combine like terms: 12 + -34 = -22 12k = -22 Divide each side by '12'. k = -1.833333333 Simplifying k = -1.833333333
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