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Simplifying -83 = 6k + 17 + 4k Reorder the terms: -83 = 17 + 6k + 4k Combine like terms: 6k + 4k = 10k -83 = 17 + 10k Solving -83 = 17 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -83 + -10k = 17 + 10k + -10k Combine like terms: 10k + -10k = 0 -83 + -10k = 17 + 0 -83 + -10k = 17 Add '83' to each side of the equation. -83 + 83 + -10k = 17 + 83 Combine like terms: -83 + 83 = 0 0 + -10k = 17 + 83 -10k = 17 + 83 Combine like terms: 17 + 83 = 100 -10k = 100 Divide each side by '-10'. k = -10 Simplifying k = -10
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