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Simplifying 7(3k + 8) = 4(5k + -1) Reorder the terms: 7(8 + 3k) = 4(5k + -1) (8 * 7 + 3k * 7) = 4(5k + -1) (56 + 21k) = 4(5k + -1) Reorder the terms: 56 + 21k = 4(-1 + 5k) 56 + 21k = (-1 * 4 + 5k * 4) 56 + 21k = (-4 + 20k) Solving 56 + 21k = -4 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 56 + 21k + -20k = -4 + 20k + -20k Combine like terms: 21k + -20k = 1k 56 + 1k = -4 + 20k + -20k Combine like terms: 20k + -20k = 0 56 + 1k = -4 + 0 56 + 1k = -4 Add '-56' to each side of the equation. 56 + -56 + 1k = -4 + -56 Combine like terms: 56 + -56 = 0 0 + 1k = -4 + -56 1k = -4 + -56 Combine like terms: -4 + -56 = -60 1k = -60 Divide each side by '1'. k = -60 Simplifying k = -60
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