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Simplifying -8k + 6x + 18 + -12x = 0 Reorder the terms: 18 + -8k + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 18 + -8k + -6x = 0 Solving 18 + -8k + -6x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -8k + -18 + -6x = 0 + -18 Reorder the terms: 18 + -18 + -8k + -6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8k + -6x = 0 + -18 -8k + -6x = 0 + -18 Combine like terms: 0 + -18 = -18 -8k + -6x = -18 Add '6x' to each side of the equation. -8k + -6x + 6x = -18 + 6x Combine like terms: -6x + 6x = 0 -8k + 0 = -18 + 6x -8k = -18 + 6x Divide each side by '-8'. k = 2.25 + -0.75x Simplifying k = 2.25 + -0.75x
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