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Simplifying 3k + 1 = 7k + 15 Reorder the terms: 1 + 3k = 7k + 15 Reorder the terms: 1 + 3k = 15 + 7k Solving 1 + 3k = 15 + 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. 1 + 3k + -7k = 15 + 7k + -7k Combine like terms: 3k + -7k = -4k 1 + -4k = 15 + 7k + -7k Combine like terms: 7k + -7k = 0 1 + -4k = 15 + 0 1 + -4k = 15 Add '-1' to each side of the equation. 1 + -1 + -4k = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 15 + -1 -4k = 15 + -1 Combine like terms: 15 + -1 = 14 -4k = 14 Divide each side by '-4'. k = -3.5 Simplifying k = -3.5
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