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Simplifying 81 = -3(5k + -2) Reorder the terms: 81 = -3(-2 + 5k) 81 = (-2 * -3 + 5k * -3) 81 = (6 + -15k) Solving 81 = 6 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 81 + 15k = 6 + -15k + 15k Combine like terms: -15k + 15k = 0 81 + 15k = 6 + 0 81 + 15k = 6 Add '-81' to each side of the equation. 81 + -81 + 15k = 6 + -81 Combine like terms: 81 + -81 = 0 0 + 15k = 6 + -81 15k = 6 + -81 Combine like terms: 6 + -81 = -75 15k = -75 Divide each side by '15'. k = -5 Simplifying k = -5
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