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Simplifying 15 + -2k = 7k + 2 Reorder the terms: 15 + -2k = 2 + 7k Solving 15 + -2k = 2 + 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 + -2k + -7k = 2 + 7k + -7k Combine like terms: -2k + -7k = -9k 15 + -9k = 2 + 7k + -7k Combine like terms: 7k + -7k = 0 15 + -9k = 2 + 0 15 + -9k = 2 Add '-15' to each side of the equation. 15 + -15 + -9k = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -9k = 2 + -15 -9k = 2 + -15 Combine like terms: 2 + -15 = -13 -9k = -13 Divide each side by '-9'. k = 1.444444444 Simplifying k = 1.444444444
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