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Simplifying 182 = 7(-8k + 2) Reorder the terms: 182 = 7(2 + -8k) 182 = (2 * 7 + -8k * 7) 182 = (14 + -56k) Solving 182 = 14 + -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. 182 + 56k = 14 + -56k + 56k Combine like terms: -56k + 56k = 0 182 + 56k = 14 + 0 182 + 56k = 14 Add '-182' to each side of the equation. 182 + -182 + 56k = 14 + -182 Combine like terms: 182 + -182 = 0 0 + 56k = 14 + -182 56k = 14 + -182 Combine like terms: 14 + -182 = -168 56k = -168 Divide each side by '56'. k = -3 Simplifying k = -3
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