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Simplifying 3(3k + -6) + -2(k + -2) = 0 Reorder the terms: 3(-6 + 3k) + -2(k + -2) = 0 (-6 * 3 + 3k * 3) + -2(k + -2) = 0 (-18 + 9k) + -2(k + -2) = 0 Reorder the terms: -18 + 9k + -2(-2 + k) = 0 -18 + 9k + (-2 * -2 + k * -2) = 0 -18 + 9k + (4 + -2k) = 0 Reorder the terms: -18 + 4 + 9k + -2k = 0 Combine like terms: -18 + 4 = -14 -14 + 9k + -2k = 0 Combine like terms: 9k + -2k = 7k -14 + 7k = 0 Solving -14 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7k = 0 + 14 7k = 0 + 14 Combine like terms: 0 + 14 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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