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Simplifying 4k + 3(6 + -6k) = 0 4k + (6 * 3 + -6k * 3) = 0 4k + (18 + -18k) = 0 Reorder the terms: 18 + 4k + -18k = 0 Combine like terms: 4k + -18k = -14k 18 + -14k = 0 Solving 18 + -14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -14k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -14k = 0 + -18 -14k = 0 + -18 Combine like terms: 0 + -18 = -18 -14k = -18 Divide each side by '-14'. k = 1.285714286 Simplifying k = 1.285714286
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