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Simplifying -5 + 5k = (-2k + 5) Reorder the terms: -5 + 5k = (5 + -2k) Remove parenthesis around (5 + -2k) -5 + 5k = 5 + -2k Solving -5 + 5k = 5 + -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. -5 + 5k + 2k = 5 + -2k + 2k Combine like terms: 5k + 2k = 7k -5 + 7k = 5 + -2k + 2k Combine like terms: -2k + 2k = 0 -5 + 7k = 5 + 0 -5 + 7k = 5 Add '5' to each side of the equation. -5 + 5 + 7k = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 7k = 5 + 5 7k = 5 + 5 Combine like terms: 5 + 5 = 10 7k = 10 Divide each side by '7'. k = 1.428571429 Simplifying k = 1.428571429
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