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Simplifying -3(k + -4) + -6k = 0 Reorder the terms: -3(-4 + k) + -6k = 0 (-4 * -3 + k * -3) + -6k = 0 (12 + -3k) + -6k = 0 Combine like terms: -3k + -6k = -9k 12 + -9k = 0 Solving 12 + -9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -9k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -9k = 0 + -12 -9k = 0 + -12 Combine like terms: 0 + -12 = -12 -9k = -12 Divide each side by '-9'. k = 1.333333333 Simplifying k = 1.333333333
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