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Simplifying 26 + 3k = -7(k + -8) Reorder the terms: 26 + 3k = -7(-8 + k) 26 + 3k = (-8 * -7 + k * -7) 26 + 3k = (56 + -7k) Solving 26 + 3k = 56 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 26 + 3k + 7k = 56 + -7k + 7k Combine like terms: 3k + 7k = 10k 26 + 10k = 56 + -7k + 7k Combine like terms: -7k + 7k = 0 26 + 10k = 56 + 0 26 + 10k = 56 Add '-26' to each side of the equation. 26 + -26 + 10k = 56 + -26 Combine like terms: 26 + -26 = 0 0 + 10k = 56 + -26 10k = 56 + -26 Combine like terms: 56 + -26 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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