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