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Simplifying 81 = 5 + -2(6k + -2) Reorder the terms: 81 = 5 + -2(-2 + 6k) 81 = 5 + (-2 * -2 + 6k * -2) 81 = 5 + (4 + -12k) Combine like terms: 5 + 4 = 9 81 = 9 + -12k Solving 81 = 9 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 81 + 12k = 9 + -12k + 12k Combine like terms: -12k + 12k = 0 81 + 12k = 9 + 0 81 + 12k = 9 Add '-81' to each side of the equation. 81 + -81 + 12k = 9 + -81 Combine like terms: 81 + -81 = 0 0 + 12k = 9 + -81 12k = 9 + -81 Combine like terms: 9 + -81 = -72 12k = -72 Divide each side by '12'. k = -6 Simplifying k = -6
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