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Simplifying 3(1 + k) = -2 + -2k (1 * 3 + k * 3) = -2 + -2k (3 + 3k) = -2 + -2k Solving 3 + 3k = -2 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 3 + 3k + 2k = -2 + -2k + 2k Combine like terms: 3k + 2k = 5k 3 + 5k = -2 + -2k + 2k Combine like terms: -2k + 2k = 0 3 + 5k = -2 + 0 3 + 5k = -2 Add '-3' to each side of the equation. 3 + -3 + 5k = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 5k = -2 + -3 5k = -2 + -3 Combine like terms: -2 + -3 = -5 5k = -5 Divide each side by '5'. k = -1 Simplifying k = -1
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