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Simplifying 7k + 8 = 3k + -9 Reorder the terms: 8 + 7k = 3k + -9 Reorder the terms: 8 + 7k = -9 + 3k Solving 8 + 7k = -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. 8 + 7k + -3k = -9 + 3k + -3k Combine like terms: 7k + -3k = 4k 8 + 4k = -9 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + 4k = -9 + 0 8 + 4k = -9 Add '-8' to each side of the equation. 8 + -8 + 4k = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 4k = -9 + -8 4k = -9 + -8 Combine like terms: -9 + -8 = -17 4k = -17 Divide each side by '4'. k = -4.25 Simplifying k = -4.25
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