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Simplifying 6 + 2k + 2(9k + 2) + -2 = 0 Reorder the terms: 6 + 2k + 2(2 + 9k) + -2 = 0 6 + 2k + (2 * 2 + 9k * 2) + -2 = 0 6 + 2k + (4 + 18k) + -2 = 0 Reorder the terms: 6 + 4 + -2 + 2k + 18k = 0 Combine like terms: 6 + 4 = 10 10 + -2 + 2k + 18k = 0 Combine like terms: 10 + -2 = 8 8 + 2k + 18k = 0 Combine like terms: 2k + 18k = 20k 8 + 20k = 0 Solving 8 + 20k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 20k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 20k = 0 + -8 20k = 0 + -8 Combine like terms: 0 + -8 = -8 20k = -8 Divide each side by '20'. k = -0.4 Simplifying k = -0.4
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