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Simplifying 10k + -8k + -1(3 + -1k) = -6 10k + -8k + (3 * -1 + -1k * -1) = -6 10k + -8k + (-3 + 1k) = -6 Reorder the terms: -3 + 10k + -8k + 1k = -6 Combine like terms: 10k + -8k = 2k -3 + 2k + 1k = -6 Combine like terms: 2k + 1k = 3k -3 + 3k = -6 Solving -3 + 3k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3k = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = -6 + 3 3k = -6 + 3 Combine like terms: -6 + 3 = -3 3k = -3 Divide each side by '3'. k = -1 Simplifying k = -1
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