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Simplifying -26 + 10x + 12k + -3x + -4k + -18 = 0 Reorder the terms: -26 + -18 + 12k + -4k + 10x + -3x = 0 Combine like terms: -26 + -18 = -44 -44 + 12k + -4k + 10x + -3x = 0 Combine like terms: 12k + -4k = 8k -44 + 8k + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -44 + 8k + 7x = 0 Solving -44 + 8k + 7x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 8k + 44 + 7x = 0 + 44 Reorder the terms: -44 + 44 + 8k + 7x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 8k + 7x = 0 + 44 8k + 7x = 0 + 44 Combine like terms: 0 + 44 = 44 8k + 7x = 44 Add '-7x' to each side of the equation. 8k + 7x + -7x = 44 + -7x Combine like terms: 7x + -7x = 0 8k + 0 = 44 + -7x 8k = 44 + -7x Divide each side by '8'. k = 5.5 + -0.875x Simplifying k = 5.5 + -0.875x
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