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Simplifying 14 = 7(k + -4) Reorder the terms: 14 = 7(-4 + k) 14 = (-4 * 7 + k * 7) 14 = (-28 + 7k) Solving 14 = -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. 14 + -7k = -28 + 7k + -7k Combine like terms: 7k + -7k = 0 14 + -7k = -28 + 0 14 + -7k = -28 Add '-14' to each side of the equation. 14 + -14 + -7k = -28 + -14 Combine like terms: 14 + -14 = 0 0 + -7k = -28 + -14 -7k = -28 + -14 Combine like terms: -28 + -14 = -42 -7k = -42 Divide each side by '-7'. k = 6 Simplifying k = 6
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