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Simplifying 24 + 7x + 8k + -4x + -4k + -10 = 0 Reorder the terms: 24 + -10 + 8k + -4k + 7x + -4x = 0 Combine like terms: 24 + -10 = 14 14 + 8k + -4k + 7x + -4x = 0 Combine like terms: 8k + -4k = 4k 14 + 4k + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 14 + 4k + 3x = 0 Solving 14 + 4k + 3x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 4k + -14 + 3x = 0 + -14 Reorder the terms: 14 + -14 + 4k + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4k + 3x = 0 + -14 4k + 3x = 0 + -14 Combine like terms: 0 + -14 = -14 4k + 3x = -14 Add '-3x' to each side of the equation. 4k + 3x + -3x = -14 + -3x Combine like terms: 3x + -3x = 0 4k + 0 = -14 + -3x 4k = -14 + -3x Divide each side by '4'. k = -3.5 + -0.75x Simplifying k = -3.5 + -0.75x
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