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Simplifying 3(1 + 3k) = -1 + 8k (1 * 3 + 3k * 3) = -1 + 8k (3 + 9k) = -1 + 8k Solving 3 + 9k = -1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 3 + 9k + -8k = -1 + 8k + -8k Combine like terms: 9k + -8k = 1k 3 + 1k = -1 + 8k + -8k Combine like terms: 8k + -8k = 0 3 + 1k = -1 + 0 3 + 1k = -1 Add '-3' to each side of the equation. 3 + -3 + 1k = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = -1 + -3 1k = -1 + -3 Combine like terms: -1 + -3 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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