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Simplifying 3(k + 5) = 1 + -4k Reorder the terms: 3(5 + k) = 1 + -4k (5 * 3 + k * 3) = 1 + -4k (15 + 3k) = 1 + -4k Solving 15 + 3k = 1 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 15 + 3k + 4k = 1 + -4k + 4k Combine like terms: 3k + 4k = 7k 15 + 7k = 1 + -4k + 4k Combine like terms: -4k + 4k = 0 15 + 7k = 1 + 0 15 + 7k = 1 Add '-15' to each side of the equation. 15 + -15 + 7k = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7k = 1 + -15 7k = 1 + -15 Combine like terms: 1 + -15 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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