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Simplifying -82 = -1(k + -12) Reorder the terms: -82 = -1(-12 + k) -82 = (-12 * -1 + k * -1) -82 = (12 + -1k) Solving -82 = 12 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -82 + k = 12 + -1k + k Combine like terms: -1k + k = 0 -82 + k = 12 + 0 -82 + k = 12 Add '82' to each side of the equation. -82 + 82 + k = 12 + 82 Combine like terms: -82 + 82 = 0 0 + k = 12 + 82 k = 12 + 82 Combine like terms: 12 + 82 = 94 k = 94 Simplifying k = 94
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