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Simplifying 6(k + 2) = 3(k + -1) Reorder the terms: 6(2 + k) = 3(k + -1) (2 * 6 + k * 6) = 3(k + -1) (12 + 6k) = 3(k + -1) Reorder the terms: 12 + 6k = 3(-1 + k) 12 + 6k = (-1 * 3 + k * 3) 12 + 6k = (-3 + 3k) Solving 12 + 6k = -3 + 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. 12 + 6k + -3k = -3 + 3k + -3k Combine like terms: 6k + -3k = 3k 12 + 3k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + 3k = -3 + 0 12 + 3k = -3 Add '-12' to each side of the equation. 12 + -12 + 3k = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = -3 + -12 3k = -3 + -12 Combine like terms: -3 + -12 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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