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Simplifying -4k + 2(5k + -60) = -3k + -39 Reorder the terms: -4k + 2(-60 + 5k) = -3k + -39 -4k + (-60 * 2 + 5k * 2) = -3k + -39 -4k + (-120 + 10k) = -3k + -39 Reorder the terms: -120 + -4k + 10k = -3k + -39 Combine like terms: -4k + 10k = 6k -120 + 6k = -3k + -39 Reorder the terms: -120 + 6k = -39 + -3k Solving -120 + 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. -120 + 6k + 3k = -39 + -3k + 3k Combine like terms: 6k + 3k = 9k -120 + 9k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -120 + 9k = -39 + 0 -120 + 9k = -39 Add '120' to each side of the equation. -120 + 120 + 9k = -39 + 120 Combine like terms: -120 + 120 = 0 0 + 9k = -39 + 120 9k = -39 + 120 Combine like terms: -39 + 120 = 81 9k = 81 Divide each side by '9'. k = 9 Simplifying k = 9
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