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Simplifying -81 = 6 + -3(3k + 5) Reorder the terms: -81 = 6 + -3(5 + 3k) -81 = 6 + (5 * -3 + 3k * -3) -81 = 6 + (-15 + -9k) Combine like terms: 6 + -15 = -9 -81 = -9 + -9k Solving -81 = -9 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -81 + 9k = -9 + -9k + 9k Combine like terms: -9k + 9k = 0 -81 + 9k = -9 + 0 -81 + 9k = -9 Add '81' to each side of the equation. -81 + 81 + 9k = -9 + 81 Combine like terms: -81 + 81 = 0 0 + 9k = -9 + 81 9k = -9 + 81 Combine like terms: -9 + 81 = 72 9k = 72 Divide each side by '9'. k = 8 Simplifying k = 8
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