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Simplifying 15 + 7k = 4k + -6 Reorder the terms: 15 + 7k = -6 + 4k Solving 15 + 7k = -6 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 15 + 7k + -4k = -6 + 4k + -4k Combine like terms: 7k + -4k = 3k 15 + 3k = -6 + 4k + -4k Combine like terms: 4k + -4k = 0 15 + 3k = -6 + 0 15 + 3k = -6 Add '-15' to each side of the equation. 15 + -15 + 3k = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = -6 + -15 3k = -6 + -15 Combine like terms: -6 + -15 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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