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Simplifying 4(k + 1) + 3(k + -1) = 15 Reorder the terms: 4(1 + k) + 3(k + -1) = 15 (1 * 4 + k * 4) + 3(k + -1) = 15 (4 + 4k) + 3(k + -1) = 15 Reorder the terms: 4 + 4k + 3(-1 + k) = 15 4 + 4k + (-1 * 3 + k * 3) = 15 4 + 4k + (-3 + 3k) = 15 Reorder the terms: 4 + -3 + 4k + 3k = 15 Combine like terms: 4 + -3 = 1 1 + 4k + 3k = 15 Combine like terms: 4k + 3k = 7k 1 + 7k = 15 Solving 1 + 7k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7k = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = 15 + -1 7k = 15 + -1 Combine like terms: 15 + -1 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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