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Simplifying 8(k + 6) + 2 = 66 Reorder the terms: 8(6 + k) + 2 = 66 (6 * 8 + k * 8) + 2 = 66 (48 + 8k) + 2 = 66 Reorder the terms: 48 + 2 + 8k = 66 Combine like terms: 48 + 2 = 50 50 + 8k = 66 Solving 50 + 8k = 66 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 8k = 66 + -50 Combine like terms: 50 + -50 = 0 0 + 8k = 66 + -50 8k = 66 + -50 Combine like terms: 66 + -50 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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