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Simplifying 9(k + 2) = 3(K + -4) Reorder the terms: 9(2 + k) = 3(K + -4) (2 * 9 + k * 9) = 3(K + -4) (18 + 9k) = 3(K + -4) Reorder the terms: 18 + 9k = 3(-4 + K) 18 + 9k = (-4 * 3 + K * 3) 18 + 9k = (-12 + 3K) Solving 18 + 9k = -12 + 3K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9k = -12 + -18 + 3K Combine like terms: 18 + -18 = 0 0 + 9k = -12 + -18 + 3K 9k = -12 + -18 + 3K Combine like terms: -12 + -18 = -30 9k = -30 + 3K Divide each side by '9'. k = -3.333333333 + 0.3333333333K Simplifying k = -3.333333333 + 0.3333333333K
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