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Simplifying -1(k + 1) + 5 = 5 + 7k Reorder the terms: -1(1 + k) + 5 = 5 + 7k (1 * -1 + k * -1) + 5 = 5 + 7k (-1 + -1k) + 5 = 5 + 7k Reorder the terms: -1 + 5 + -1k = 5 + 7k Combine like terms: -1 + 5 = 4 4 + -1k = 5 + 7k Solving 4 + -1k = 5 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 4 + -1k + -7k = 5 + 7k + -7k Combine like terms: -1k + -7k = -8k 4 + -8k = 5 + 7k + -7k Combine like terms: 7k + -7k = 0 4 + -8k = 5 + 0 4 + -8k = 5 Add '-4' to each side of the equation. 4 + -4 + -8k = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -8k = 5 + -4 -8k = 5 + -4 Combine like terms: 5 + -4 = 1 -8k = 1 Divide each side by '-8'. k = -0.125 Simplifying k = -0.125
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