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Simplifying 3(6k + 1) + -3k = 9k + -9 Reorder the terms: 3(1 + 6k) + -3k = 9k + -9 (1 * 3 + 6k * 3) + -3k = 9k + -9 (3 + 18k) + -3k = 9k + -9 Combine like terms: 18k + -3k = 15k 3 + 15k = 9k + -9 Reorder the terms: 3 + 15k = -9 + 9k Solving 3 + 15k = -9 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 3 + 15k + -9k = -9 + 9k + -9k Combine like terms: 15k + -9k = 6k 3 + 6k = -9 + 9k + -9k Combine like terms: 9k + -9k = 0 3 + 6k = -9 + 0 3 + 6k = -9 Add '-3' to each side of the equation. 3 + -3 + 6k = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = -9 + -3 6k = -9 + -3 Combine like terms: -9 + -3 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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