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Simplifying 9[k + -81] = 90 Reorder the terms: 9[-81 + k] = 90 [-81 * 9 + k * 9] = 90 [-729 + 9k] = 90 Solving -729 + 9k = 90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '729' to each side of the equation. -729 + 729 + 9k = 90 + 729 Combine like terms: -729 + 729 = 0 0 + 9k = 90 + 729 9k = 90 + 729 Combine like terms: 90 + 729 = 819 9k = 819 Divide each side by '9'. k = 91 Simplifying k = 91
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