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Simplifying 21 = 1 + 7k + -8 Reorder the terms: 21 = 1 + -8 + 7k Combine like terms: 1 + -8 = -7 21 = -7 + 7k Solving 21 = -7 + 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. 21 + -7k = -7 + 7k + -7k Combine like terms: 7k + -7k = 0 21 + -7k = -7 + 0 21 + -7k = -7 Add '-21' to each side of the equation. 21 + -21 + -7k = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -7k = -7 + -21 -7k = -7 + -21 Combine like terms: -7 + -21 = -28 -7k = -28 Divide each side by '-7'. k = 4 Simplifying k = 4
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