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Simplifying 4 = -1(k + 1) + 5(1 + -7k) Reorder the terms: 4 = -1(1 + k) + 5(1 + -7k) 4 = (1 * -1 + k * -1) + 5(1 + -7k) 4 = (-1 + -1k) + 5(1 + -7k) 4 = -1 + -1k + (1 * 5 + -7k * 5) 4 = -1 + -1k + (5 + -35k) Reorder the terms: 4 = -1 + 5 + -1k + -35k Combine like terms: -1 + 5 = 4 4 = 4 + -1k + -35k Combine like terms: -1k + -35k = -36k 4 = 4 + -36k Add '-4' to each side of the equation. 4 + -4 = 4 + -4 + -36k Combine like terms: 4 + -4 = 0 0 = 4 + -4 + -36k Combine like terms: 4 + -4 = 0 0 = 0 + -36k 0 = -36k Solving 0 = -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 0 + 36k = -36k + 36k Remove the zero: 36k = -36k + 36k Combine like terms: -36k + 36k = 0 36k = 0 Divide each side by '36'. k = 0 Simplifying k = 0
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