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Simplifying 26 = 8k + -1(k + 2) Reorder the terms: 26 = 8k + -1(2 + k) 26 = 8k + (2 * -1 + k * -1) 26 = 8k + (-2 + -1k) Reorder the terms: 26 = -2 + 8k + -1k Combine like terms: 8k + -1k = 7k 26 = -2 + 7k Solving 26 = -2 + 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 + -7k = -2 + 7k + -7k Combine like terms: 7k + -7k = 0 26 + -7k = -2 + 0 26 + -7k = -2 Add '-26' to each side of the equation. 26 + -26 + -7k = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -7k = -2 + -26 -7k = -2 + -26 Combine like terms: -2 + -26 = -28 -7k = -28 Divide each side by '-7'. k = 4 Simplifying k = 4
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