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Simplifying -4k + 2(5k + -6) = 3 + -1k + -39 Reorder the terms: -4k + 2(-6 + 5k) = 3 + -1k + -39 -4k + (-6 * 2 + 5k * 2) = 3 + -1k + -39 -4k + (-12 + 10k) = 3 + -1k + -39 Reorder the terms: -12 + -4k + 10k = 3 + -1k + -39 Combine like terms: -4k + 10k = 6k -12 + 6k = 3 + -1k + -39 Reorder the terms: -12 + 6k = 3 + -39 + -1k Combine like terms: 3 + -39 = -36 -12 + 6k = -36 + -1k Solving -12 + 6k = -36 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -12 + 6k + k = -36 + -1k + k Combine like terms: 6k + k = 7k -12 + 7k = -36 + -1k + k Combine like terms: -1k + k = 0 -12 + 7k = -36 + 0 -12 + 7k = -36 Add '12' to each side of the equation. -12 + 12 + 7k = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 7k = -36 + 12 7k = -36 + 12 Combine like terms: -36 + 12 = -24 7k = -24 Divide each side by '7'. k = -3.428571429 Simplifying k = -3.428571429
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