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Simplifying 6(1 + 8k) = 54 (1 * 6 + 8k * 6) = 54 (6 + 48k) = 54 Solving 6 + 48k = 54 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 48k = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 48k = 54 + -6 48k = 54 + -6 Combine like terms: 54 + -6 = 48 48k = 48 Divide each side by '48'. k = 1 Simplifying k = 1
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