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Simplifying 7k + 5 = 5(1 + -7k) Reorder the terms: 5 + 7k = 5(1 + -7k) 5 + 7k = (1 * 5 + -7k * 5) 5 + 7k = (5 + -35k) Add '-5' to each side of the equation. 5 + -5 + 7k = 5 + -5 + -35k Combine like terms: 5 + -5 = 0 0 + 7k = 5 + -5 + -35k 7k = 5 + -5 + -35k Combine like terms: 5 + -5 = 0 7k = 0 + -35k 7k = -35k Solving 7k = -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. 7k + 35k = -35k + 35k Combine like terms: 7k + 35k = 42k 42k = -35k + 35k Combine like terms: -35k + 35k = 0 42k = 0 Divide each side by '42'. k = 0 Simplifying k = 0
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