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Simplifying 28 + -5k = -7(k + -6) Reorder the terms: 28 + -5k = -7(-6 + k) 28 + -5k = (-6 * -7 + k * -7) 28 + -5k = (42 + -7k) Solving 28 + -5k = 42 + -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. 28 + -5k + 7k = 42 + -7k + 7k Combine like terms: -5k + 7k = 2k 28 + 2k = 42 + -7k + 7k Combine like terms: -7k + 7k = 0 28 + 2k = 42 + 0 28 + 2k = 42 Add '-28' to each side of the equation. 28 + -28 + 2k = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 2k = 42 + -28 2k = 42 + -28 Combine like terms: 42 + -28 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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