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