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Simplifying 3 + -9k = -3k + (k + 2) Reorder the terms: 3 + -9k = -3k + (2 + k) Remove parenthesis around (2 + k) 3 + -9k = -3k + 2 + k Reorder the terms: 3 + -9k = 2 + -3k + k Combine like terms: -3k + k = -2k 3 + -9k = 2 + -2k Solving 3 + -9k = 2 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 3 + -9k + 2k = 2 + -2k + 2k Combine like terms: -9k + 2k = -7k 3 + -7k = 2 + -2k + 2k Combine like terms: -2k + 2k = 0 3 + -7k = 2 + 0 3 + -7k = 2 Add '-3' to each side of the equation. 3 + -3 + -7k = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -7k = 2 + -3 -7k = 2 + -3 Combine like terms: 2 + -3 = -1 -7k = -1 Divide each side by '-7'. k = 0.1428571429 Simplifying k = 0.1428571429
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