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Simplifying -1k + 2(5k + -6) = -39 Reorder the terms: -1k + 2(-6 + 5k) = -39 -1k + (-6 * 2 + 5k * 2) = -39 -1k + (-12 + 10k) = -39 Reorder the terms: -12 + -1k + 10k = -39 Combine like terms: -1k + 10k = 9k -12 + 9k = -39 Solving -12 + 9k = -39 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9k = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = -39 + 12 9k = -39 + 12 Combine like terms: -39 + 12 = -27 9k = -27 Divide each side by '9'. k = -3 Simplifying k = -3
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