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Simplifying -3(k + -2) + 6k = 9k + -2 Reorder the terms: -3(-2 + k) + 6k = 9k + -2 (-2 * -3 + k * -3) + 6k = 9k + -2 (6 + -3k) + 6k = 9k + -2 Combine like terms: -3k + 6k = 3k 6 + 3k = 9k + -2 Reorder the terms: 6 + 3k = -2 + 9k Solving 6 + 3k = -2 + 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. 6 + 3k + -9k = -2 + 9k + -9k Combine like terms: 3k + -9k = -6k 6 + -6k = -2 + 9k + -9k Combine like terms: 9k + -9k = 0 6 + -6k = -2 + 0 6 + -6k = -2 Add '-6' to each side of the equation. 6 + -6 + -6k = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -6k = -2 + -6 -6k = -2 + -6 Combine like terms: -2 + -6 = -8 -6k = -8 Divide each side by '-6'. k = 1.333333333 Simplifying k = 1.333333333
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