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Simplifying 2(2k + 4) + -7k + 9 + 2 = 0 Reorder the terms: 2(4 + 2k) + -7k + 9 + 2 = 0 (4 * 2 + 2k * 2) + -7k + 9 + 2 = 0 (8 + 4k) + -7k + 9 + 2 = 0 Reorder the terms: 8 + 9 + 2 + 4k + -7k = 0 Combine like terms: 8 + 9 = 17 17 + 2 + 4k + -7k = 0 Combine like terms: 17 + 2 = 19 19 + 4k + -7k = 0 Combine like terms: 4k + -7k = -3k 19 + -3k = 0 Solving 19 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = 0 + -19 -3k = 0 + -19 Combine like terms: 0 + -19 = -19 -3k = -19 Divide each side by '-3'. k = 6.333333333 Simplifying k = 6.333333333
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