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