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Simplifying -21 = 5k + 2k Combine like terms: 5k + 2k = 7k -21 = 7k Solving -21 = 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 = 7k + -7k Combine like terms: 7k + -7k = 0 -21 + -7k = 0 Add '21' to each side of the equation. -21 + 21 + -7k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7k = 0 + 21 -7k = 0 + 21 Combine like terms: 0 + 21 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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