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Simplifying 2(2k + 4) + -7k + 4 + 5 = 0 Reorder the terms: 2(4 + 2k) + -7k + 4 + 5 = 0 (4 * 2 + 2k * 2) + -7k + 4 + 5 = 0 (8 + 4k) + -7k + 4 + 5 = 0 Reorder the terms: 8 + 4 + 5 + 4k + -7k = 0 Combine like terms: 8 + 4 = 12 12 + 5 + 4k + -7k = 0 Combine like terms: 12 + 5 = 17 17 + 4k + -7k = 0 Combine like terms: 4k + -7k = -3k 17 + -3k = 0 Solving 17 + -3k = 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 + -3k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = 0 + -17 -3k = 0 + -17 Combine like terms: 0 + -17 = -17 -3k = -17 Divide each side by '-3'. k = 5.666666667 Simplifying k = 5.666666667
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