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Simplifying -15 = 4 + 7(k + 2) Reorder the terms: -15 = 4 + 7(2 + k) -15 = 4 + (2 * 7 + k * 7) -15 = 4 + (14 + 7k) Combine like terms: 4 + 14 = 18 -15 = 18 + 7k Solving -15 = 18 + 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. -15 + -7k = 18 + 7k + -7k Combine like terms: 7k + -7k = 0 -15 + -7k = 18 + 0 -15 + -7k = 18 Add '15' to each side of the equation. -15 + 15 + -7k = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -7k = 18 + 15 -7k = 18 + 15 Combine like terms: 18 + 15 = 33 -7k = 33 Divide each side by '-7'. k = -4.714285714 Simplifying k = -4.714285714
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