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Simplifying -33 = 3(-3k + -2) Reorder the terms: -33 = 3(-2 + -3k) -33 = (-2 * 3 + -3k * 3) -33 = (-6 + -9k) Solving -33 = -6 + -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. -33 + 9k = -6 + -9k + 9k Combine like terms: -9k + 9k = 0 -33 + 9k = -6 + 0 -33 + 9k = -6 Add '33' to each side of the equation. -33 + 33 + 9k = -6 + 33 Combine like terms: -33 + 33 = 0 0 + 9k = -6 + 33 9k = -6 + 33 Combine like terms: -6 + 33 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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