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Simplifying -3(-1 + 5k) = -8k + 24 (-1 * -3 + 5k * -3) = -8k + 24 (3 + -15k) = -8k + 24 Reorder the terms: 3 + -15k = 24 + -8k Solving 3 + -15k = 24 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 3 + -15k + 8k = 24 + -8k + 8k Combine like terms: -15k + 8k = -7k 3 + -7k = 24 + -8k + 8k Combine like terms: -8k + 8k = 0 3 + -7k = 24 + 0 3 + -7k = 24 Add '-3' to each side of the equation. 3 + -3 + -7k = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -7k = 24 + -3 -7k = 24 + -3 Combine like terms: 24 + -3 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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