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Simplifying -6(1 + -8k) = 32 (1 * -6 + -8k * -6) = 32 (-6 + 48k) = 32 Solving -6 + 48k = 32 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 = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 48k = 32 + 6 48k = 32 + 6 Combine like terms: 32 + 6 = 38 48k = 38 Divide each side by '48'. k = 0.7916666667 Simplifying k = 0.7916666667
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