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Simplifying 10k + 17 = -3k + 5 Reorder the terms: 17 + 10k = -3k + 5 Reorder the terms: 17 + 10k = 5 + -3k Solving 17 + 10k = 5 + -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. 17 + 10k + 3k = 5 + -3k + 3k Combine like terms: 10k + 3k = 13k 17 + 13k = 5 + -3k + 3k Combine like terms: -3k + 3k = 0 17 + 13k = 5 + 0 17 + 13k = 5 Add '-17' to each side of the equation. 17 + -17 + 13k = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 13k = 5 + -17 13k = 5 + -17 Combine like terms: 5 + -17 = -12 13k = -12 Divide each side by '13'. k = -0.9230769231 Simplifying k = -0.9230769231
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