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Simplifying -81 = -3(4k + -5) Reorder the terms: -81 = -3(-5 + 4k) -81 = (-5 * -3 + 4k * -3) -81 = (15 + -12k) Solving -81 = 15 + -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 = 15 + -12k + 12k Combine like terms: -12k + 12k = 0 -81 + 12k = 15 + 0 -81 + 12k = 15 Add '81' to each side of the equation. -81 + 81 + 12k = 15 + 81 Combine like terms: -81 + 81 = 0 0 + 12k = 15 + 81 12k = 15 + 81 Combine like terms: 15 + 81 = 96 12k = 96 Divide each side by '12'. k = 8 Simplifying k = 8
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