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Simplifying 15 + 5k = -1(7k + -3) Reorder the terms: 15 + 5k = -1(-3 + 7k) 15 + 5k = (-3 * -1 + 7k * -1) 15 + 5k = (3 + -7k) Solving 15 + 5k = 3 + -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 = 3 + -7k + 7k Combine like terms: 5k + 7k = 12k 15 + 12k = 3 + -7k + 7k Combine like terms: -7k + 7k = 0 15 + 12k = 3 + 0 15 + 12k = 3 Add '-15' to each side of the equation. 15 + -15 + 12k = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 12k = 3 + -15 12k = 3 + -15 Combine like terms: 3 + -15 = -12 12k = -12 Divide each side by '12'. k = -1 Simplifying k = -1
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