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Simplifying -3(-3k + 2) = -13 + 8k Reorder the terms: -3(2 + -3k) = -13 + 8k (2 * -3 + -3k * -3) = -13 + 8k (-6 + 9k) = -13 + 8k Solving -6 + 9k = -13 + 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. -6 + 9k + -8k = -13 + 8k + -8k Combine like terms: 9k + -8k = 1k -6 + 1k = -13 + 8k + -8k Combine like terms: 8k + -8k = 0 -6 + 1k = -13 + 0 -6 + 1k = -13 Add '6' to each side of the equation. -6 + 6 + 1k = -13 + 6 Combine like terms: -6 + 6 = 0 0 + 1k = -13 + 6 1k = -13 + 6 Combine like terms: -13 + 6 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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