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Simplifying -7k + 23 = -3k + -29 Reorder the terms: 23 + -7k = -3k + -29 Reorder the terms: 23 + -7k = -29 + -3k Solving 23 + -7k = -29 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 23 + -7k + 3k = -29 + -3k + 3k Combine like terms: -7k + 3k = -4k 23 + -4k = -29 + -3k + 3k Combine like terms: -3k + 3k = 0 23 + -4k = -29 + 0 23 + -4k = -29 Add '-23' to each side of the equation. 23 + -23 + -4k = -29 + -23 Combine like terms: 23 + -23 = 0 0 + -4k = -29 + -23 -4k = -29 + -23 Combine like terms: -29 + -23 = -52 -4k = -52 Divide each side by '-4'. k = 13 Simplifying k = 13
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