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Simplifying -2(1 + 6k) + 9 = 0 (1 * -2 + 6k * -2) + 9 = 0 (-2 + -12k) + 9 = 0 Reorder the terms: -2 + 9 + -12k = 0 Combine like terms: -2 + 9 = 7 7 + -12k = 0 Solving 7 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12k = 0 + -7 -12k = 0 + -7 Combine like terms: 0 + -7 = -7 -12k = -7 Divide each side by '-12'. k = 0.5833333333 Simplifying k = 0.5833333333
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