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Simplifying 26 + 41k = -3(-3k + 2) Reorder the terms: 26 + 41k = -3(2 + -3k) 26 + 41k = (2 * -3 + -3k * -3) 26 + 41k = (-6 + 9k) Solving 26 + 41k = -6 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 26 + 41k + -9k = -6 + 9k + -9k Combine like terms: 41k + -9k = 32k 26 + 32k = -6 + 9k + -9k Combine like terms: 9k + -9k = 0 26 + 32k = -6 + 0 26 + 32k = -6 Add '-26' to each side of the equation. 26 + -26 + 32k = -6 + -26 Combine like terms: 26 + -26 = 0 0 + 32k = -6 + -26 32k = -6 + -26 Combine like terms: -6 + -26 = -32 32k = -32 Divide each side by '32'. k = -1 Simplifying k = -1
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