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Simplifying 7k + 3 = -38 + -30k Reorder the terms: 3 + 7k = -38 + -30k Solving 3 + 7k = -38 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 3 + 7k + 30k = -38 + -30k + 30k Combine like terms: 7k + 30k = 37k 3 + 37k = -38 + -30k + 30k Combine like terms: -30k + 30k = 0 3 + 37k = -38 + 0 3 + 37k = -38 Add '-3' to each side of the equation. 3 + -3 + 37k = -38 + -3 Combine like terms: 3 + -3 = 0 0 + 37k = -38 + -3 37k = -38 + -3 Combine like terms: -38 + -3 = -41 37k = -41 Divide each side by '37'. k = -1.108108108 Simplifying k = -1.108108108
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