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