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Simplifying 57 = 22 + -7(k + 3) Reorder the terms: 57 = 22 + -7(3 + k) 57 = 22 + (3 * -7 + k * -7) 57 = 22 + (-21 + -7k) Combine like terms: 22 + -21 = 1 57 = 1 + -7k Solving 57 = 1 + -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 = 1 + -7k + 7k Combine like terms: -7k + 7k = 0 57 + 7k = 1 + 0 57 + 7k = 1 Add '-57' to each side of the equation. 57 + -57 + 7k = 1 + -57 Combine like terms: 57 + -57 = 0 0 + 7k = 1 + -57 7k = 1 + -57 Combine like terms: 1 + -57 = -56 7k = -56 Divide each side by '7'. k = -8 Simplifying k = -8
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