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Simplifying -3(8k + 5) = 3(9 + -1k) Reorder the terms: -3(5 + 8k) = 3(9 + -1k) (5 * -3 + 8k * -3) = 3(9 + -1k) (-15 + -24k) = 3(9 + -1k) -15 + -24k = (9 * 3 + -1k * 3) -15 + -24k = (27 + -3k) Solving -15 + -24k = 27 + -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. -15 + -24k + 3k = 27 + -3k + 3k Combine like terms: -24k + 3k = -21k -15 + -21k = 27 + -3k + 3k Combine like terms: -3k + 3k = 0 -15 + -21k = 27 + 0 -15 + -21k = 27 Add '15' to each side of the equation. -15 + 15 + -21k = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -21k = 27 + 15 -21k = 27 + 15 Combine like terms: 27 + 15 = 42 -21k = 42 Divide each side by '-21'. k = -2 Simplifying k = -2
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