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Simplifying 2k + 8 = -5(k + -3) Reorder the terms: 8 + 2k = -5(k + -3) Reorder the terms: 8 + 2k = -5(-3 + k) 8 + 2k = (-3 * -5 + k * -5) 8 + 2k = (15 + -5k) Solving 8 + 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. 8 + 2k + 5k = 15 + -5k + 5k Combine like terms: 2k + 5k = 7k 8 + 7k = 15 + -5k + 5k Combine like terms: -5k + 5k = 0 8 + 7k = 15 + 0 8 + 7k = 15 Add '-8' to each side of the equation. 8 + -8 + 7k = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 7k = 15 + -8 7k = 15 + -8 Combine like terms: 15 + -8 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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