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Simplifying -3(k + -3) + 6k = 9k + -4 Reorder the terms: -3(-3 + k) + 6k = 9k + -4 (-3 * -3 + k * -3) + 6k = 9k + -4 (9 + -3k) + 6k = 9k + -4 Combine like terms: -3k + 6k = 3k 9 + 3k = 9k + -4 Reorder the terms: 9 + 3k = -4 + 9k Solving 9 + 3k = -4 + 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. 9 + 3k + -9k = -4 + 9k + -9k Combine like terms: 3k + -9k = -6k 9 + -6k = -4 + 9k + -9k Combine like terms: 9k + -9k = 0 9 + -6k = -4 + 0 9 + -6k = -4 Add '-9' to each side of the equation. 9 + -9 + -6k = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -6k = -4 + -9 -6k = -4 + -9 Combine like terms: -4 + -9 = -13 -6k = -13 Divide each side by '-6'. k = 2.166666667 Simplifying k = 2.166666667
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