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Simplifying 8 + 12k = -1(-6k + -2) Reorder the terms: 8 + 12k = -1(-2 + -6k) 8 + 12k = (-2 * -1 + -6k * -1) 8 + 12k = (2 + 6k) Solving 8 + 12k = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 8 + 12k + -6k = 2 + 6k + -6k Combine like terms: 12k + -6k = 6k 8 + 6k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 8 + 6k = 2 + 0 8 + 6k = 2 Add '-8' to each side of the equation. 8 + -8 + 6k = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 6k = 2 + -8 6k = 2 + -8 Combine like terms: 2 + -8 = -6 6k = -6 Divide each side by '6'. k = -1 Simplifying k = -1
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