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Simplifying -4x + 8k + -3x + 9k = 10 + -1k Reorder the terms: 8k + 9k + -4x + -3x = 10 + -1k Combine like terms: 8k + 9k = 17k 17k + -4x + -3x = 10 + -1k Combine like terms: -4x + -3x = -7x 17k + -7x = 10 + -1k Solving 17k + -7x = 10 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 17k + k + -7x = 10 + -1k + k Combine like terms: 17k + k = 18k 18k + -7x = 10 + -1k + k Combine like terms: -1k + k = 0 18k + -7x = 10 + 0 18k + -7x = 10 Add '7x' to each side of the equation. 18k + -7x + 7x = 10 + 7x Combine like terms: -7x + 7x = 0 18k + 0 = 10 + 7x 18k = 10 + 7x Divide each side by '18'. k = 0.5555555556 + 0.3888888889x Simplifying k = 0.5555555556 + 0.3888888889x
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