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Simplifying 15 + 3k = -15 + -7k Solving 15 + 3k = -15 + -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. 15 + 3k + 7k = -15 + -7k + 7k Combine like terms: 3k + 7k = 10k 15 + 10k = -15 + -7k + 7k Combine like terms: -7k + 7k = 0 15 + 10k = -15 + 0 15 + 10k = -15 Add '-15' to each side of the equation. 15 + -15 + 10k = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 10k = -15 + -15 10k = -15 + -15 Combine like terms: -15 + -15 = -30 10k = -30 Divide each side by '10'. k = -3 Simplifying k = -3
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