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Simplifying 3(3k + 1) + -8 = 0 Reorder the terms: 3(1 + 3k) + -8 = 0 (1 * 3 + 3k * 3) + -8 = 0 (3 + 9k) + -8 = 0 Reorder the terms: 3 + -8 + 9k = 0 Combine like terms: 3 + -8 = -5 -5 + 9k = 0 Solving -5 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9k = 0 + 5 9k = 0 + 5 Combine like terms: 0 + 5 = 5 9k = 5 Divide each side by '9'. k = 0.5555555556 Simplifying k = 0.5555555556
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