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Simplifying -23 + 7k = 7(k + -2) + 3k Reorder the terms: -23 + 7k = 7(-2 + k) + 3k -23 + 7k = (-2 * 7 + k * 7) + 3k -23 + 7k = (-14 + 7k) + 3k Combine like terms: 7k + 3k = 10k -23 + 7k = -14 + 10k Solving -23 + 7k = -14 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -23 + 7k + -10k = -14 + 10k + -10k Combine like terms: 7k + -10k = -3k -23 + -3k = -14 + 10k + -10k Combine like terms: 10k + -10k = 0 -23 + -3k = -14 + 0 -23 + -3k = -14 Add '23' to each side of the equation. -23 + 23 + -3k = -14 + 23 Combine like terms: -23 + 23 = 0 0 + -3k = -14 + 23 -3k = -14 + 23 Combine like terms: -14 + 23 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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