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Simplifying -6(1 + 8k) = -102 (1 * -6 + 8k * -6) = -102 (-6 + -48k) = -102 Solving -6 + -48k = -102 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 = -102 + 6 Combine like terms: -6 + 6 = 0 0 + -48k = -102 + 6 -48k = -102 + 6 Combine like terms: -102 + 6 = -96 -48k = -96 Divide each side by '-48'. k = 2 Simplifying k = 2
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