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Simplifying 6k + 3(k + 2) = 7w + 4 Reorder the terms: 6k + 3(2 + k) = 7w + 4 6k + (2 * 3 + k * 3) = 7w + 4 6k + (6 + 3k) = 7w + 4 Reorder the terms: 6 + 6k + 3k = 7w + 4 Combine like terms: 6k + 3k = 9k 6 + 9k = 7w + 4 Reorder the terms: 6 + 9k = 4 + 7w Solving 6 + 9k = 4 + 7w Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9k = 4 + -6 + 7w Combine like terms: 6 + -6 = 0 0 + 9k = 4 + -6 + 7w 9k = 4 + -6 + 7w Combine like terms: 4 + -6 = -2 9k = -2 + 7w Divide each side by '9'. k = -0.2222222222 + 0.7777777778w Simplifying k = -0.2222222222 + 0.7777777778w
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