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Simplifying -7k + 3k + -20 = 9 + 8k + -17 Reorder the terms: -20 + -7k + 3k = 9 + 8k + -17 Combine like terms: -7k + 3k = -4k -20 + -4k = 9 + 8k + -17 Reorder the terms: -20 + -4k = 9 + -17 + 8k Combine like terms: 9 + -17 = -8 -20 + -4k = -8 + 8k Solving -20 + -4k = -8 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -20 + -4k + -8k = -8 + 8k + -8k Combine like terms: -4k + -8k = -12k -20 + -12k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 -20 + -12k = -8 + 0 -20 + -12k = -8 Add '20' to each side of the equation. -20 + 20 + -12k = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -12k = -8 + 20 -12k = -8 + 20 Combine like terms: -8 + 20 = 12 -12k = 12 Divide each side by '-12'. k = -1 Simplifying k = -1
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