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Simplifying 2(k + 4) + -4k + 5 + 4 = 0 Reorder the terms: 2(4 + k) + -4k + 5 + 4 = 0 (4 * 2 + k * 2) + -4k + 5 + 4 = 0 (8 + 2k) + -4k + 5 + 4 = 0 Reorder the terms: 8 + 5 + 4 + 2k + -4k = 0 Combine like terms: 8 + 5 = 13 13 + 4 + 2k + -4k = 0 Combine like terms: 13 + 4 = 17 17 + 2k + -4k = 0 Combine like terms: 2k + -4k = -2k 17 + -2k = 0 Solving 17 + -2k = 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 + -2k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2k = 0 + -17 -2k = 0 + -17 Combine like terms: 0 + -17 = -17 -2k = -17 Divide each side by '-2'. k = 8.5 Simplifying k = 8.5
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