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Simplifying -12 = 3(k + -1) Reorder the terms: -12 = 3(-1 + k) -12 = (-1 * 3 + k * 3) -12 = (-3 + 3k) Solving -12 = -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 + -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 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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