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Simplifying 4[2k + 3] + -2 = 6 Reorder the terms: 4[3 + 2k] + -2 = 6 [3 * 4 + 2k * 4] + -2 = 6 [12 + 8k] + -2 = 6 Reorder the terms: 12 + -2 + 8k = 6 Combine like terms: 12 + -2 = 10 10 + 8k = 6 Solving 10 + 8k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8k = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 8k = 6 + -10 8k = 6 + -10 Combine like terms: 6 + -10 = -4 8k = -4 Divide each side by '8'. k = -0.5 Simplifying k = -0.5
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