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Simplifying 10(5k + 35) + -8 = 12 Reorder the terms: 10(35 + 5k) + -8 = 12 (35 * 10 + 5k * 10) + -8 = 12 (350 + 50k) + -8 = 12 Reorder the terms: 350 + -8 + 50k = 12 Combine like terms: 350 + -8 = 342 342 + 50k = 12 Solving 342 + 50k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-342' to each side of the equation. 342 + -342 + 50k = 12 + -342 Combine like terms: 342 + -342 = 0 0 + 50k = 12 + -342 50k = 12 + -342 Combine like terms: 12 + -342 = -330 50k = -330 Divide each side by '50'. k = -6.6 Simplifying k = -6.6
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