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Simplifying 6k + 3(k + 2) = 5k + 12k Reorder the terms: 6k + 3(2 + k) = 5k + 12k 6k + (2 * 3 + k * 3) = 5k + 12k 6k + (6 + 3k) = 5k + 12k Reorder the terms: 6 + 6k + 3k = 5k + 12k Combine like terms: 6k + 3k = 9k 6 + 9k = 5k + 12k Combine like terms: 5k + 12k = 17k 6 + 9k = 17k Solving 6 + 9k = 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 6 + 9k + -17k = 17k + -17k Combine like terms: 9k + -17k = -8k 6 + -8k = 17k + -17k Combine like terms: 17k + -17k = 0 6 + -8k = 0 Add '-6' to each side of the equation. 6 + -6 + -8k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8k = 0 + -6 -8k = 0 + -6 Combine like terms: 0 + -6 = -6 -8k = -6 Divide each side by '-8'. k = 0.75 Simplifying k = 0.75
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