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Simplifying -26 = 4 + 4(2 + -3k) -26 = 4 + (2 * 4 + -3k * 4) -26 = 4 + (8 + -12k) Combine like terms: 4 + 8 = 12 -26 = 12 + -12k Solving -26 = 12 + -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. -26 + 12k = 12 + -12k + 12k Combine like terms: -12k + 12k = 0 -26 + 12k = 12 + 0 -26 + 12k = 12 Add '26' to each side of the equation. -26 + 26 + 12k = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 12k = 12 + 26 12k = 12 + 26 Combine like terms: 12 + 26 = 38 12k = 38 Divide each side by '12'. k = 3.166666667 Simplifying k = 3.166666667
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