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Simplifying (18x + 9k) + (2x + 6k) = 0 Reorder the terms: (9k + 18x) + (2x + 6k) = 0 Remove parenthesis around (9k + 18x) 9k + 18x + (2x + 6k) = 0 Reorder the terms: 9k + 18x + (6k + 2x) = 0 Remove parenthesis around (6k + 2x) 9k + 18x + 6k + 2x = 0 Reorder the terms: 9k + 6k + 18x + 2x = 0 Combine like terms: 9k + 6k = 15k 15k + 18x + 2x = 0 Combine like terms: 18x + 2x = 20x 15k + 20x = 0 Solving 15k + 20x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20x' to each side of the equation. 15k + 20x + -20x = 0 + -20x Combine like terms: 20x + -20x = 0 15k + 0 = 0 + -20x 15k = 0 + -20x Remove the zero: 15k = -20x Divide each side by '15'. k = -1.333333333x Simplifying k = -1.333333333x
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