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Simplifying (3 + 4k) + (6 + -9k) = 0 Remove parenthesis around (3 + 4k) 3 + 4k + (6 + -9k) = 0 Remove parenthesis around (6 + -9k) 3 + 4k + 6 + -9k = 0 Reorder the terms: 3 + 6 + 4k + -9k = 0 Combine like terms: 3 + 6 = 9 9 + 4k + -9k = 0 Combine like terms: 4k + -9k = -5k 9 + -5k = 0 Solving 9 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = 0 + -9 -5k = 0 + -9 Combine like terms: 0 + -9 = -9 -5k = -9 Divide each side by '-5'. k = 1.8 Simplifying k = 1.8
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