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Simplifying -2k + 23 = 8k + -1(k + -5) Reorder the terms: 23 + -2k = 8k + -1(k + -5) Reorder the terms: 23 + -2k = 8k + -1(-5 + k) 23 + -2k = 8k + (-5 * -1 + k * -1) 23 + -2k = 8k + (5 + -1k) Reorder the terms: 23 + -2k = 5 + 8k + -1k Combine like terms: 8k + -1k = 7k 23 + -2k = 5 + 7k Solving 23 + -2k = 5 + 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. 23 + -2k + -7k = 5 + 7k + -7k Combine like terms: -2k + -7k = -9k 23 + -9k = 5 + 7k + -7k Combine like terms: 7k + -7k = 0 23 + -9k = 5 + 0 23 + -9k = 5 Add '-23' to each side of the equation. 23 + -23 + -9k = 5 + -23 Combine like terms: 23 + -23 = 0 0 + -9k = 5 + -23 -9k = 5 + -23 Combine like terms: 5 + -23 = -18 -9k = -18 Divide each side by '-9'. k = 2 Simplifying k = 2
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