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Simplifying 6k + -1(3k + -4) = 0 Reorder the terms: 6k + -1(-4 + 3k) = 0 6k + (-4 * -1 + 3k * -1) = 0 6k + (4 + -3k) = 0 Reorder the terms: 4 + 6k + -3k = 0 Combine like terms: 6k + -3k = 3k 4 + 3k = 0 Solving 4 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 0 + -4 3k = 0 + -4 Combine like terms: 0 + -4 = -4 3k = -4 Divide each side by '3'. k = -1.333333333 Simplifying k = -1.333333333
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