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Simplifying -7(-3k + 12) = 20k Reorder the terms: -7(12 + -3k) = 20k (12 * -7 + -3k * -7) = 20k (-84 + 21k) = 20k Solving -84 + 21k = 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. -84 + 21k + -20k = 20k + -20k Combine like terms: 21k + -20k = 1k -84 + 1k = 20k + -20k Combine like terms: 20k + -20k = 0 -84 + 1k = 0 Add '84' to each side of the equation. -84 + 84 + 1k = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 1k = 0 + 84 1k = 0 + 84 Combine like terms: 0 + 84 = 84 1k = 84 Divide each side by '1'. k = 84 Simplifying k = 84
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