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Simplifying -7(k + 1) = -8k Reorder the terms: -7(1 + k) = -8k (1 * -7 + k * -7) = -8k (-7 + -7k) = -8k Solving -7 + -7k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -7 + -7k + 8k = -8k + 8k Combine like terms: -7k + 8k = 1k -7 + 1k = -8k + 8k Combine like terms: -8k + 8k = 0 -7 + 1k = 0 Add '7' to each side of the equation. -7 + 7 + 1k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1k = 0 + 7 1k = 0 + 7 Combine like terms: 0 + 7 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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