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Simplifying -4k + 2(5x + -6) = -3k + -39 Reorder the terms: -4k + 2(-6 + 5x) = -3k + -39 -4k + (-6 * 2 + 5x * 2) = -3k + -39 -4k + (-12 + 10x) = -3k + -39 Reorder the terms: -12 + -4k + 10x = -3k + -39 Reorder the terms: -12 + -4k + 10x = -39 + -3k Solving -12 + -4k + 10x = -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 + -4k + 3k + 10x = -39 + -3k + 3k Combine like terms: -4k + 3k = -1k -12 + -1k + 10x = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + -1k + 10x = -39 + 0 -12 + -1k + 10x = -39 Add '12' to each side of the equation. -12 + -1k + 12 + 10x = -39 + 12 Reorder the terms: -12 + 12 + -1k + 10x = -39 + 12 Combine like terms: -12 + 12 = 0 0 + -1k + 10x = -39 + 12 -1k + 10x = -39 + 12 Combine like terms: -39 + 12 = -27 -1k + 10x = -27 Add '-10x' to each side of the equation. -1k + 10x + -10x = -27 + -10x Combine like terms: 10x + -10x = 0 -1k + 0 = -27 + -10x -1k = -27 + -10x Divide each side by '-1'. k = 27 + 10x Simplifying k = 27 + 10x
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