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Simplifying -15 + -8k = 1 + -7k + -3k Combine like terms: -7k + -3k = -10k -15 + -8k = 1 + -10k Solving -15 + -8k = 1 + -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. -15 + -8k + 10k = 1 + -10k + 10k Combine like terms: -8k + 10k = 2k -15 + 2k = 1 + -10k + 10k Combine like terms: -10k + 10k = 0 -15 + 2k = 1 + 0 -15 + 2k = 1 Add '15' to each side of the equation. -15 + 15 + 2k = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = 1 + 15 2k = 1 + 15 Combine like terms: 1 + 15 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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