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Simplifying 3(2k + 9) + -14 = 0 Reorder the terms: 3(9 + 2k) + -14 = 0 (9 * 3 + 2k * 3) + -14 = 0 (27 + 6k) + -14 = 0 Reorder the terms: 27 + -14 + 6k = 0 Combine like terms: 27 + -14 = 13 13 + 6k = 0 Solving 13 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6k = 0 + -13 6k = 0 + -13 Combine like terms: 0 + -13 = -13 6k = -13 Divide each side by '6'. k = -2.166666667 Simplifying k = -2.166666667
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