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Simplifying 1 + 7k = 3(5 + -3k) 1 + 7k = (5 * 3 + -3k * 3) 1 + 7k = (15 + -9k) Solving 1 + 7k = 15 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 1 + 7k + 9k = 15 + -9k + 9k Combine like terms: 7k + 9k = 16k 1 + 16k = 15 + -9k + 9k Combine like terms: -9k + 9k = 0 1 + 16k = 15 + 0 1 + 16k = 15 Add '-1' to each side of the equation. 1 + -1 + 16k = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 16k = 15 + -1 16k = 15 + -1 Combine like terms: 15 + -1 = 14 16k = 14 Divide each side by '16'. k = 0.875 Simplifying k = 0.875
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