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Simplifying 3k + -10k + 2 = -46 Reorder the terms: 2 + 3k + -10k = -46 Combine like terms: 3k + -10k = -7k 2 + -7k = -46 Solving 2 + -7k = -46 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7k = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -7k = -46 + -2 -7k = -46 + -2 Combine like terms: -46 + -2 = -48 -7k = -48 Divide each side by '-7'. k = 6.857142857 Simplifying k = 6.857142857
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