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Simplifying 2(3k + 4) + -8k + 5 + 2 = 0 Reorder the terms: 2(4 + 3k) + -8k + 5 + 2 = 0 (4 * 2 + 3k * 2) + -8k + 5 + 2 = 0 (8 + 6k) + -8k + 5 + 2 = 0 Reorder the terms: 8 + 5 + 2 + 6k + -8k = 0 Combine like terms: 8 + 5 = 13 13 + 2 + 6k + -8k = 0 Combine like terms: 13 + 2 = 15 15 + 6k + -8k = 0 Combine like terms: 6k + -8k = -2k 15 + -2k = 0 Solving 15 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2k = 0 + -15 -2k = 0 + -15 Combine like terms: 0 + -15 = -15 -2k = -15 Divide each side by '-2'. k = 7.5 Simplifying k = 7.5
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