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Simplifying 3k + -1 = 9k + 2 Reorder the terms: -1 + 3k = 9k + 2 Reorder the terms: -1 + 3k = 2 + 9k Solving -1 + 3k = 2 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -1 + 3k + -9k = 2 + 9k + -9k Combine like terms: 3k + -9k = -6k -1 + -6k = 2 + 9k + -9k Combine like terms: 9k + -9k = 0 -1 + -6k = 2 + 0 -1 + -6k = 2 Add '1' to each side of the equation. -1 + 1 + -6k = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -6k = 2 + 1 -6k = 2 + 1 Combine like terms: 2 + 1 = 3 -6k = 3 Divide each side by '-6'. k = -0.5 Simplifying k = -0.5
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