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Simplifying -4k + -2(5k + -6) = -3k + -39 Reorder the terms: -4k + -2(-6 + 5k) = -3k + -39 -4k + (-6 * -2 + 5k * -2) = -3k + -39 -4k + (12 + -10k) = -3k + -39 Reorder the terms: 12 + -4k + -10k = -3k + -39 Combine like terms: -4k + -10k = -14k 12 + -14k = -3k + -39 Reorder the terms: 12 + -14k = -39 + -3k Solving 12 + -14k = -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 + -14k + 3k = -39 + -3k + 3k Combine like terms: -14k + 3k = -11k 12 + -11k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 12 + -11k = -39 + 0 12 + -11k = -39 Add '-12' to each side of the equation. 12 + -12 + -11k = -39 + -12 Combine like terms: 12 + -12 = 0 0 + -11k = -39 + -12 -11k = -39 + -12 Combine like terms: -39 + -12 = -51 -11k = -51 Divide each side by '-11'. k = 4.636363636 Simplifying k = 4.636363636
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