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Simplifying -4(1 + -5k) + 1 = -39 + 8k (1 * -4 + -5k * -4) + 1 = -39 + 8k (-4 + 20k) + 1 = -39 + 8k Reorder the terms: -4 + 1 + 20k = -39 + 8k Combine like terms: -4 + 1 = -3 -3 + 20k = -39 + 8k Solving -3 + 20k = -39 + 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 + 20k + -8k = -39 + 8k + -8k Combine like terms: 20k + -8k = 12k -3 + 12k = -39 + 8k + -8k Combine like terms: 8k + -8k = 0 -3 + 12k = -39 + 0 -3 + 12k = -39 Add '3' to each side of the equation. -3 + 3 + 12k = -39 + 3 Combine like terms: -3 + 3 = 0 0 + 12k = -39 + 3 12k = -39 + 3 Combine like terms: -39 + 3 = -36 12k = -36 Divide each side by '12'. k = -3 Simplifying k = -3
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