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Simplifying -8k + 8 = -3(1 + -1k) Reorder the terms: 8 + -8k = -3(1 + -1k) 8 + -8k = (1 * -3 + -1k * -3) 8 + -8k = (-3 + 3k) Solving 8 + -8k = -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. 8 + -8k + -3k = -3 + 3k + -3k Combine like terms: -8k + -3k = -11k 8 + -11k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + -11k = -3 + 0 8 + -11k = -3 Add '-8' to each side of the equation. 8 + -8 + -11k = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11k = -3 + -8 -11k = -3 + -8 Combine like terms: -3 + -8 = -11 -11k = -11 Divide each side by '-11'. k = 1 Simplifying k = 1
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