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Simplifying -5k + 7 = -21 + 2k Reorder the terms: 7 + -5k = -21 + 2k Solving 7 + -5k = -21 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 7 + -5k + -2k = -21 + 2k + -2k Combine like terms: -5k + -2k = -7k 7 + -7k = -21 + 2k + -2k Combine like terms: 2k + -2k = 0 7 + -7k = -21 + 0 7 + -7k = -21 Add '-7' to each side of the equation. 7 + -7 + -7k = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7k = -21 + -7 -7k = -21 + -7 Combine like terms: -21 + -7 = -28 -7k = -28 Divide each side by '-7'. k = 4 Simplifying k = 4
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