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Simplifying 7(-2k + 3k + -8 + 9) = 0 Reorder the terms: 7(-8 + 9 + -2k + 3k) = 0 Combine like terms: -8 + 9 = 1 7(1 + -2k + 3k) = 0 Combine like terms: -2k + 3k = 1k 7(1 + 1k) = 0 (1 * 7 + 1k * 7) = 0 (7 + 7k) = 0 Solving 7 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7k = 0 + -7 7k = 0 + -7 Combine like terms: 0 + -7 = -7 7k = -7 Divide each side by '7'. k = -1 Simplifying k = -1
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