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Simplifying 6 + 2(9k + 1) + 9 = 0 Reorder the terms: 6 + 2(1 + 9k) + 9 = 0 6 + (1 * 2 + 9k * 2) + 9 = 0 6 + (2 + 18k) + 9 = 0 Reorder the terms: 6 + 2 + 9 + 18k = 0 Combine like terms: 6 + 2 = 8 8 + 9 + 18k = 0 Combine like terms: 8 + 9 = 17 17 + 18k = 0 Solving 17 + 18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 18k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 18k = 0 + -17 18k = 0 + -17 Combine like terms: 0 + -17 = -17 18k = -17 Divide each side by '18'. k = -0.9444444444 Simplifying k = -0.9444444444
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