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Simplifying 2(k + 2) + 8k = 84 Reorder the terms: 2(2 + k) + 8k = 84 (2 * 2 + k * 2) + 8k = 84 (4 + 2k) + 8k = 84 Combine like terms: 2k + 8k = 10k 4 + 10k = 84 Solving 4 + 10k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10k = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 10k = 84 + -4 10k = 84 + -4 Combine like terms: 84 + -4 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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