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Simplifying 3k + 5(1 + -2k) = 23 + -1k 3k + (1 * 5 + -2k * 5) = 23 + -1k 3k + (5 + -10k) = 23 + -1k Reorder the terms: 5 + 3k + -10k = 23 + -1k Combine like terms: 3k + -10k = -7k 5 + -7k = 23 + -1k Solving 5 + -7k = 23 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 5 + -7k + k = 23 + -1k + k Combine like terms: -7k + k = -6k 5 + -6k = 23 + -1k + k Combine like terms: -1k + k = 0 5 + -6k = 23 + 0 5 + -6k = 23 Add '-5' to each side of the equation. 5 + -5 + -6k = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 23 + -5 -6k = 23 + -5 Combine like terms: 23 + -5 = 18 -6k = 18 Divide each side by '-6'. k = -3 Simplifying k = -3
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