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Simplifying 3k + -2x + 6k + 5 = 0 Reorder the terms: 5 + 3k + 6k + -2x = 0 Combine like terms: 3k + 6k = 9k 5 + 9k + -2x = 0 Solving 5 + 9k + -2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 9k + -5 + -2x = 0 + -5 Reorder the terms: 5 + -5 + 9k + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9k + -2x = 0 + -5 9k + -2x = 0 + -5 Combine like terms: 0 + -5 = -5 9k + -2x = -5 Add '2x' to each side of the equation. 9k + -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 9k + 0 = -5 + 2x 9k = -5 + 2x Divide each side by '9'. k = -0.5555555556 + 0.2222222222x Simplifying k = -0.5555555556 + 0.2222222222x
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