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Simplifying -3[9 + -2(k + 3) + 5k] = 0 Reorder the terms: -3[9 + -2(3 + k) + 5k] = 0 -3[9 + (3 * -2 + k * -2) + 5k] = 0 -3[9 + (-6 + -2k) + 5k] = 0 Combine like terms: 9 + -6 = 3 -3[3 + -2k + 5k] = 0 Combine like terms: -2k + 5k = 3k -3[3 + 3k] = 0 [3 * -3 + 3k * -3] = 0 [-9 + -9k] = 0 Solving -9 + -9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -9k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -9k = 0 + 9 -9k = 0 + 9 Combine like terms: 0 + 9 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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