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Simplifying -3k + -8 + 7k = 34 + 9k + -2 Reorder the terms: -8 + -3k + 7k = 34 + 9k + -2 Combine like terms: -3k + 7k = 4k -8 + 4k = 34 + 9k + -2 Reorder the terms: -8 + 4k = 34 + -2 + 9k Combine like terms: 34 + -2 = 32 -8 + 4k = 32 + 9k Solving -8 + 4k = 32 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -8 + 4k + -9k = 32 + 9k + -9k Combine like terms: 4k + -9k = -5k -8 + -5k = 32 + 9k + -9k Combine like terms: 9k + -9k = 0 -8 + -5k = 32 + 0 -8 + -5k = 32 Add '8' to each side of the equation. -8 + 8 + -5k = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5k = 32 + 8 -5k = 32 + 8 Combine like terms: 32 + 8 = 40 -5k = 40 Divide each side by '-5'. k = -8 Simplifying k = -8
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