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Simplifying -20 = -3 + 7(k + 5) Reorder the terms: -20 = -3 + 7(5 + k) -20 = -3 + (5 * 7 + k * 7) -20 = -3 + (35 + 7k) Combine like terms: -3 + 35 = 32 -20 = 32 + 7k Solving -20 = 32 + 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. -20 + -7k = 32 + 7k + -7k Combine like terms: 7k + -7k = 0 -20 + -7k = 32 + 0 -20 + -7k = 32 Add '20' to each side of the equation. -20 + 20 + -7k = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -7k = 32 + 20 -7k = 32 + 20 Combine like terms: 32 + 20 = 52 -7k = 52 Divide each side by '-7'. k = -7.428571429 Simplifying k = -7.428571429
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