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Simplifying 7k + 8 = 2k + -40 Reorder the terms: 8 + 7k = 2k + -40 Reorder the terms: 8 + 7k = -40 + 2k Solving 8 + 7k = -40 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 8 + 7k + -2k = -40 + 2k + -2k Combine like terms: 7k + -2k = 5k 8 + 5k = -40 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 5k = -40 + 0 8 + 5k = -40 Add '-8' to each side of the equation. 8 + -8 + 5k = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = -40 + -8 5k = -40 + -8 Combine like terms: -40 + -8 = -48 5k = -48 Divide each side by '5'. k = -9.6 Simplifying k = -9.6
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