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Simplifying 2(5 + k) = 7k + -5 (5 * 2 + k * 2) = 7k + -5 (10 + 2k) = 7k + -5 Reorder the terms: 10 + 2k = -5 + 7k Solving 10 + 2k = -5 + 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. 10 + 2k + -7k = -5 + 7k + -7k Combine like terms: 2k + -7k = -5k 10 + -5k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 10 + -5k = -5 + 0 10 + -5k = -5 Add '-10' to each side of the equation. 10 + -10 + -5k = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -5 + -10 -5k = -5 + -10 Combine like terms: -5 + -10 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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