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Simplifying 9(k + -84) = 81 Reorder the terms: 9(-84 + k) = 81 (-84 * 9 + k * 9) = 81 (-756 + 9k) = 81 Solving -756 + 9k = 81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '756' to each side of the equation. -756 + 756 + 9k = 81 + 756 Combine like terms: -756 + 756 = 0 0 + 9k = 81 + 756 9k = 81 + 756 Combine like terms: 81 + 756 = 837 9k = 837 Divide each side by '9'. k = 93 Simplifying k = 93
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