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Simplifying 6(2 + -1k + 3x) = 0 (2 * 6 + -1k * 6 + 3x * 6) = 0 (12 + -6k + 18x) = 0 Solving 12 + -6k + 18x = 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 + -6k + -12 + 18x = 0 + -12 Reorder the terms: 12 + -12 + -6k + 18x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6k + 18x = 0 + -12 -6k + 18x = 0 + -12 Combine like terms: 0 + -12 = -12 -6k + 18x = -12 Add '-18x' to each side of the equation. -6k + 18x + -18x = -12 + -18x Combine like terms: 18x + -18x = 0 -6k + 0 = -12 + -18x -6k = -12 + -18x Divide each side by '-6'. k = 2 + 3x Simplifying k = 2 + 3x
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