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Simplifying 6(1 + -2k) = 102 (1 * 6 + -2k * 6) = 102 (6 + -12k) = 102 Solving 6 + -12k = 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 + -12k = 102 + -6 Combine like terms: 6 + -6 = 0 0 + -12k = 102 + -6 -12k = 102 + -6 Combine like terms: 102 + -6 = 96 -12k = 96 Divide each side by '-12'. k = -8 Simplifying k = -8
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