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Simplifying -12 = -3(k + 20) Reorder the terms: -12 = -3(20 + k) -12 = (20 * -3 + k * -3) -12 = (-60 + -3k) Solving -12 = -60 + -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 = -60 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 3k = -60 + 0 -12 + 3k = -60 Add '12' to each side of the equation. -12 + 12 + 3k = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = -60 + 12 3k = -60 + 12 Combine like terms: -60 + 12 = -48 3k = -48 Divide each side by '3'. k = -16 Simplifying k = -16
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