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Simplifying 5 + 4k = -9 + -3k Solving 5 + 4k = -9 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 5 + 4k + 3k = -9 + -3k + 3k Combine like terms: 4k + 3k = 7k 5 + 7k = -9 + -3k + 3k Combine like terms: -3k + 3k = 0 5 + 7k = -9 + 0 5 + 7k = -9 Add '-5' to each side of the equation. 5 + -5 + 7k = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 7k = -9 + -5 7k = -9 + -5 Combine like terms: -9 + -5 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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