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Simplifying 28 + -1k = 7(k + -4) Reorder the terms: 28 + -1k = 7(-4 + k) 28 + -1k = (-4 * 7 + k * 7) 28 + -1k = (-28 + 7k) Solving 28 + -1k = -28 + 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 + -1k + -7k = -28 + 7k + -7k Combine like terms: -1k + -7k = -8k 28 + -8k = -28 + 7k + -7k Combine like terms: 7k + -7k = 0 28 + -8k = -28 + 0 28 + -8k = -28 Add '-28' to each side of the equation. 28 + -28 + -8k = -28 + -28 Combine like terms: 28 + -28 = 0 0 + -8k = -28 + -28 -8k = -28 + -28 Combine like terms: -28 + -28 = -56 -8k = -56 Divide each side by '-8'. k = 7 Simplifying k = 7
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