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Simplifying -6(3 + 2k) = -78 (3 * -6 + 2k * -6) = -78 (-18 + -12k) = -78 Solving -18 + -12k = -78 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -12k = -78 + 18 Combine like terms: -18 + 18 = 0 0 + -12k = -78 + 18 -12k = -78 + 18 Combine like terms: -78 + 18 = -60 -12k = -60 Divide each side by '-12'. k = 5 Simplifying k = 5
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