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Simplifying 15 + -1(-7k + -4) + 9 = 32 Reorder the terms: 15 + -1(-4 + -7k) + 9 = 32 15 + (-4 * -1 + -7k * -1) + 9 = 32 15 + (4 + 7k) + 9 = 32 Reorder the terms: 15 + 4 + 9 + 7k = 32 Combine like terms: 15 + 4 = 19 19 + 9 + 7k = 32 Combine like terms: 19 + 9 = 28 28 + 7k = 32 Solving 28 + 7k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7k = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 7k = 32 + -28 7k = 32 + -28 Combine like terms: 32 + -28 = 4 7k = 4 Divide each side by '7'. k = 0.5714285714 Simplifying k = 0.5714285714
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