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Simplifying 7[k + -14] = 49 Reorder the terms: 7[-14 + k] = 49 [-14 * 7 + k * 7] = 49 [-98 + 7k] = 49 Solving -98 + 7k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 7k = 49 + 98 Combine like terms: -98 + 98 = 0 0 + 7k = 49 + 98 7k = 49 + 98 Combine like terms: 49 + 98 = 147 7k = 147 Divide each side by '7'. k = 21 Simplifying k = 21
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