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Simplifying (5k + 6) + (4k + -8) = 0 Reorder the terms: (6 + 5k) + (4k + -8) = 0 Remove parenthesis around (6 + 5k) 6 + 5k + (4k + -8) = 0 Reorder the terms: 6 + 5k + (-8 + 4k) = 0 Remove parenthesis around (-8 + 4k) 6 + 5k + -8 + 4k = 0 Reorder the terms: 6 + -8 + 5k + 4k = 0 Combine like terms: 6 + -8 = -2 -2 + 5k + 4k = 0 Combine like terms: 5k + 4k = 9k -2 + 9k = 0 Solving -2 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9k = 0 + 2 9k = 0 + 2 Combine like terms: 0 + 2 = 2 9k = 2 Divide each side by '9'. k = 0.2222222222 Simplifying k = 0.2222222222
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