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Simplifying -2k + 6 = 5k + -15 Reorder the terms: 6 + -2k = 5k + -15 Reorder the terms: 6 + -2k = -15 + 5k Solving 6 + -2k = -15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 6 + -2k + -5k = -15 + 5k + -5k Combine like terms: -2k + -5k = -7k 6 + -7k = -15 + 5k + -5k Combine like terms: 5k + -5k = 0 6 + -7k = -15 + 0 6 + -7k = -15 Add '-6' to each side of the equation. 6 + -6 + -7k = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = -15 + -6 -7k = -15 + -6 Combine like terms: -15 + -6 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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