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Simplifying 12 + 5k + -8 = 12x + -10 Reorder the terms: 12 + -8 + 5k = 12x + -10 Combine like terms: 12 + -8 = 4 4 + 5k = 12x + -10 Reorder the terms: 4 + 5k = -10 + 12x Solving 4 + 5k = -10 + 12x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5k = -10 + -4 + 12x Combine like terms: 4 + -4 = 0 0 + 5k = -10 + -4 + 12x 5k = -10 + -4 + 12x Combine like terms: -10 + -4 = -14 5k = -14 + 12x Divide each side by '5'. k = -2.8 + 2.4x Simplifying k = -2.8 + 2.4x
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