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Simplifying 8k + 2(7 + -3k) = 4 8k + (7 * 2 + -3k * 2) = 4 8k + (14 + -6k) = 4 Reorder the terms: 14 + 8k + -6k = 4 Combine like terms: 8k + -6k = 2k 14 + 2k = 4 Solving 14 + 2k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2k = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 4 + -14 2k = 4 + -14 Combine like terms: 4 + -14 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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