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Simplifying 3(4k + 1) + -6 = 0 Reorder the terms: 3(1 + 4k) + -6 = 0 (1 * 3 + 4k * 3) + -6 = 0 (3 + 12k) + -6 = 0 Reorder the terms: 3 + -6 + 12k = 0 Combine like terms: 3 + -6 = -3 -3 + 12k = 0 Solving -3 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12k = 0 + 3 12k = 0 + 3 Combine like terms: 0 + 3 = 3 12k = 3 Divide each side by '12'. k = 0.25 Simplifying k = 0.25
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