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Simplifying 7k + 28 = -7(2k + -4) Reorder the terms: 28 + 7k = -7(2k + -4) Reorder the terms: 28 + 7k = -7(-4 + 2k) 28 + 7k = (-4 * -7 + 2k * -7) 28 + 7k = (28 + -14k) Add '-28' to each side of the equation. 28 + -28 + 7k = 28 + -28 + -14k Combine like terms: 28 + -28 = 0 0 + 7k = 28 + -28 + -14k 7k = 28 + -28 + -14k Combine like terms: 28 + -28 = 0 7k = 0 + -14k 7k = -14k Solving 7k = -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 7k + 14k = -14k + 14k Combine like terms: 7k + 14k = 21k 21k = -14k + 14k Combine like terms: -14k + 14k = 0 21k = 0 Divide each side by '21'. k = 0 Simplifying k = 0
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