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Simplifying -81 = 3(1 + -4k) -81 = (1 * 3 + -4k * 3) -81 = (3 + -12k) Solving -81 = 3 + -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 = 3 + -12k + 12k Combine like terms: -12k + 12k = 0 -81 + 12k = 3 + 0 -81 + 12k = 3 Add '81' to each side of the equation. -81 + 81 + 12k = 3 + 81 Combine like terms: -81 + 81 = 0 0 + 12k = 3 + 81 12k = 3 + 81 Combine like terms: 3 + 81 = 84 12k = 84 Divide each side by '12'. k = 7 Simplifying k = 7
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