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Simplifying 7(k + 10) = 56 Reorder the terms: 7(10 + k) = 56 (10 * 7 + k * 7) = 56 (70 + 7k) = 56 Solving 70 + 7k = 56 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 7k = 56 + -70 Combine like terms: 70 + -70 = 0 0 + 7k = 56 + -70 7k = 56 + -70 Combine like terms: 56 + -70 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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