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Simplifying -2(-8k + -1) = 4 + 2(k + -1) Reorder the terms: -2(-1 + -8k) = 4 + 2(k + -1) (-1 * -2 + -8k * -2) = 4 + 2(k + -1) (2 + 16k) = 4 + 2(k + -1) Reorder the terms: 2 + 16k = 4 + 2(-1 + k) 2 + 16k = 4 + (-1 * 2 + k * 2) 2 + 16k = 4 + (-2 + 2k) Combine like terms: 4 + -2 = 2 2 + 16k = 2 + 2k Add '-2' to each side of the equation. 2 + -2 + 16k = 2 + -2 + 2k Combine like terms: 2 + -2 = 0 0 + 16k = 2 + -2 + 2k 16k = 2 + -2 + 2k Combine like terms: 2 + -2 = 0 16k = 0 + 2k 16k = 2k Solving 16k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 16k + -2k = 2k + -2k Combine like terms: 16k + -2k = 14k 14k = 2k + -2k Combine like terms: 2k + -2k = 0 14k = 0 Divide each side by '14'. k = 0 Simplifying k = 0
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