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Simplifying 4(8k + 1) + -3k = -20 + 5k Reorder the terms: 4(1 + 8k) + -3k = -20 + 5k (1 * 4 + 8k * 4) + -3k = -20 + 5k (4 + 32k) + -3k = -20 + 5k Combine like terms: 32k + -3k = 29k 4 + 29k = -20 + 5k Solving 4 + 29k = -20 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 4 + 29k + -5k = -20 + 5k + -5k Combine like terms: 29k + -5k = 24k 4 + 24k = -20 + 5k + -5k Combine like terms: 5k + -5k = 0 4 + 24k = -20 + 0 4 + 24k = -20 Add '-4' to each side of the equation. 4 + -4 + 24k = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 24k = -20 + -4 24k = -20 + -4 Combine like terms: -20 + -4 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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