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Simplifying 3k + 8k + -7 = 7k + 9 Reorder the terms: -7 + 3k + 8k = 7k + 9 Combine like terms: 3k + 8k = 11k -7 + 11k = 7k + 9 Reorder the terms: -7 + 11k = 9 + 7k Solving -7 + 11k = 9 + 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. -7 + 11k + -7k = 9 + 7k + -7k Combine like terms: 11k + -7k = 4k -7 + 4k = 9 + 7k + -7k Combine like terms: 7k + -7k = 0 -7 + 4k = 9 + 0 -7 + 4k = 9 Add '7' to each side of the equation. -7 + 7 + 4k = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = 9 + 7 4k = 9 + 7 Combine like terms: 9 + 7 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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