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Simplifying 2(5k + -6) + -4k = 3k + -39 Reorder the terms: 2(-6 + 5k) + -4k = 3k + -39 (-6 * 2 + 5k * 2) + -4k = 3k + -39 (-12 + 10k) + -4k = 3k + -39 Combine like terms: 10k + -4k = 6k -12 + 6k = 3k + -39 Reorder the terms: -12 + 6k = -39 + 3k Solving -12 + 6k = -39 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -12 + 6k + -3k = -39 + 3k + -3k Combine like terms: 6k + -3k = 3k -12 + 3k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 -12 + 3k = -39 + 0 -12 + 3k = -39 Add '12' to each side of the equation. -12 + 12 + 3k = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = -39 + 12 3k = -39 + 12 Combine like terms: -39 + 12 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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