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Simplifying 9k + 3 = 10k + -1 Reorder the terms: 3 + 9k = 10k + -1 Reorder the terms: 3 + 9k = -1 + 10k Solving 3 + 9k = -1 + 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. 3 + 9k + -10k = -1 + 10k + -10k Combine like terms: 9k + -10k = -1k 3 + -1k = -1 + 10k + -10k Combine like terms: 10k + -10k = 0 3 + -1k = -1 + 0 3 + -1k = -1 Add '-3' to each side of the equation. 3 + -3 + -1k = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = -1 + -3 -1k = -1 + -3 Combine like terms: -1 + -3 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4
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