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Simplifying -8(k + 9) + 20k = 72 + 3k Reorder the terms: -8(9 + k) + 20k = 72 + 3k (9 * -8 + k * -8) + 20k = 72 + 3k (-72 + -8k) + 20k = 72 + 3k Combine like terms: -8k + 20k = 12k -72 + 12k = 72 + 3k Solving -72 + 12k = 72 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -72 + 12k + -3k = 72 + 3k + -3k Combine like terms: 12k + -3k = 9k -72 + 9k = 72 + 3k + -3k Combine like terms: 3k + -3k = 0 -72 + 9k = 72 + 0 -72 + 9k = 72 Add '72' to each side of the equation. -72 + 72 + 9k = 72 + 72 Combine like terms: -72 + 72 = 0 0 + 9k = 72 + 72 9k = 72 + 72 Combine like terms: 72 + 72 = 144 9k = 144 Divide each side by '9'. k = 16 Simplifying k = 16
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