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Simplifying 8(3k + 5) = -23 + 3k Reorder the terms: 8(5 + 3k) = -23 + 3k (5 * 8 + 3k * 8) = -23 + 3k (40 + 24k) = -23 + 3k Solving 40 + 24k = -23 + 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. 40 + 24k + -3k = -23 + 3k + -3k Combine like terms: 24k + -3k = 21k 40 + 21k = -23 + 3k + -3k Combine like terms: 3k + -3k = 0 40 + 21k = -23 + 0 40 + 21k = -23 Add '-40' to each side of the equation. 40 + -40 + 21k = -23 + -40 Combine like terms: 40 + -40 = 0 0 + 21k = -23 + -40 21k = -23 + -40 Combine like terms: -23 + -40 = -63 21k = -63 Divide each side by '21'. k = -3 Simplifying k = -3
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