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Simplifying 57 = 7k + -6 Reorder the terms: 57 = -6 + 7k Solving 57 = -6 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 57 + -7k = -6 + 7k + -7k Combine like terms: 7k + -7k = 0 57 + -7k = -6 + 0 57 + -7k = -6 Add '-57' to each side of the equation. 57 + -57 + -7k = -6 + -57 Combine like terms: 57 + -57 = 0 0 + -7k = -6 + -57 -7k = -6 + -57 Combine like terms: -6 + -57 = -63 -7k = -63 Divide each side by '-7'. k = 9 Simplifying k = 9
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