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Simplifying 81 = 3 + 3(4k + 2) Reorder the terms: 81 = 3 + 3(2 + 4k) 81 = 3 + (2 * 3 + 4k * 3) 81 = 3 + (6 + 12k) Combine like terms: 3 + 6 = 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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