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Simplifying 6(3k + -2) = -102 Reorder the terms: 6(-2 + 3k) = -102 (-2 * 6 + 3k * 6) = -102 (-12 + 18k) = -102 Solving -12 + 18k = -102 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 18k = -102 + 12 Combine like terms: -12 + 12 = 0 0 + 18k = -102 + 12 18k = -102 + 12 Combine like terms: -102 + 12 = -90 18k = -90 Divide each side by '18'. k = -5 Simplifying k = -5
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