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Simplifying 4k + 4 + 5k = 18 + 3k + -6 Reorder the terms: 4 + 4k + 5k = 18 + 3k + -6 Combine like terms: 4k + 5k = 9k 4 + 9k = 18 + 3k + -6 Reorder the terms: 4 + 9k = 18 + -6 + 3k Combine like terms: 18 + -6 = 12 4 + 9k = 12 + 3k Solving 4 + 9k = 12 + 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. 4 + 9k + -3k = 12 + 3k + -3k Combine like terms: 9k + -3k = 6k 4 + 6k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + 6k = 12 + 0 4 + 6k = 12 Add '-4' to each side of the equation. 4 + -4 + 6k = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 12 + -4 6k = 12 + -4 Combine like terms: 12 + -4 = 8 6k = 8 Divide each side by '6'. k = 1.333333333 Simplifying k = 1.333333333
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