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Simplifying k + -18 + 8k = 3(k + 2) Reorder the terms: -18 + k + 8k = 3(k + 2) Combine like terms: k + 8k = 9k -18 + 9k = 3(k + 2) Reorder the terms: -18 + 9k = 3(2 + k) -18 + 9k = (2 * 3 + k * 3) -18 + 9k = (6 + 3k) Solving -18 + 9k = 6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -18 + 9k + -3k = 6 + 3k + -3k Combine like terms: 9k + -3k = 6k -18 + 6k = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 -18 + 6k = 6 + 0 -18 + 6k = 6 Add '18' to each side of the equation. -18 + 18 + 6k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6k = 6 + 18 6k = 6 + 18 Combine like terms: 6 + 18 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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