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Simplifying 2k + -7k + -8 = 14 Reorder the terms: -8 + 2k + -7k = 14 Combine like terms: 2k + -7k = -5k -8 + -5k = 14 Solving -8 + -5k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5k = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -5k = 14 + 8 -5k = 14 + 8 Combine like terms: 14 + 8 = 22 -5k = 22 Divide each side by '-5'. k = -4.4 Simplifying k = -4.4
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