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Simplifying -7(-1 + -8k) = 7 + -2k (-1 * -7 + -8k * -7) = 7 + -2k (7 + 56k) = 7 + -2k Add '-7' to each side of the equation. 7 + -7 + 56k = 7 + -7 + -2k Combine like terms: 7 + -7 = 0 0 + 56k = 7 + -7 + -2k 56k = 7 + -7 + -2k Combine like terms: 7 + -7 = 0 56k = 0 + -2k 56k = -2k Solving 56k = -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. 56k + 2k = -2k + 2k Combine like terms: 56k + 2k = 58k 58k = -2k + 2k Combine like terms: -2k + 2k = 0 58k = 0 Divide each side by '58'. k = 0 Simplifying k = 0
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