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Simplifying 12k + -26 = 2(3k + 2) Reorder the terms: -26 + 12k = 2(3k + 2) Reorder the terms: -26 + 12k = 2(2 + 3k) -26 + 12k = (2 * 2 + 3k * 2) -26 + 12k = (4 + 6k) Solving -26 + 12k = 4 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -26 + 12k + -6k = 4 + 6k + -6k Combine like terms: 12k + -6k = 6k -26 + 6k = 4 + 6k + -6k Combine like terms: 6k + -6k = 0 -26 + 6k = 4 + 0 -26 + 6k = 4 Add '26' to each side of the equation. -26 + 26 + 6k = 4 + 26 Combine like terms: -26 + 26 = 0 0 + 6k = 4 + 26 6k = 4 + 26 Combine like terms: 4 + 26 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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