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Simplifying -3(6k + 2) + -8k = 4k + 24 Reorder the terms: -3(2 + 6k) + -8k = 4k + 24 (2 * -3 + 6k * -3) + -8k = 4k + 24 (-6 + -18k) + -8k = 4k + 24 Combine like terms: -18k + -8k = -26k -6 + -26k = 4k + 24 Reorder the terms: -6 + -26k = 24 + 4k Solving -6 + -26k = 24 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -6 + -26k + -4k = 24 + 4k + -4k Combine like terms: -26k + -4k = -30k -6 + -30k = 24 + 4k + -4k Combine like terms: 4k + -4k = 0 -6 + -30k = 24 + 0 -6 + -30k = 24 Add '6' to each side of the equation. -6 + 6 + -30k = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -30k = 24 + 6 -30k = 24 + 6 Combine like terms: 24 + 6 = 30 -30k = 30 Divide each side by '-30'. k = -1 Simplifying k = -1
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