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Simplifying 3(1 + -6k) + 4 = 0 (1 * 3 + -6k * 3) + 4 = 0 (3 + -18k) + 4 = 0 Reorder the terms: 3 + 4 + -18k = 0 Combine like terms: 3 + 4 = 7 7 + -18k = 0 Solving 7 + -18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -18k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -18k = 0 + -7 -18k = 0 + -7 Combine like terms: 0 + -7 = -7 -18k = -7 Divide each side by '-18'. k = 0.3888888889 Simplifying k = 0.3888888889
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