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Simplifying 15 + 5k = 1 + 7k Solving 15 + 5k = 1 + 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. 15 + 5k + -7k = 1 + 7k + -7k Combine like terms: 5k + -7k = -2k 15 + -2k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 15 + -2k = 1 + 0 15 + -2k = 1 Add '-15' to each side of the equation. 15 + -15 + -2k = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2k = 1 + -15 -2k = 1 + -15 Combine like terms: 1 + -15 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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