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Simplifying 7k + 5 = 6(k + -9) Reorder the terms: 5 + 7k = 6(k + -9) Reorder the terms: 5 + 7k = 6(-9 + k) 5 + 7k = (-9 * 6 + k * 6) 5 + 7k = (-54 + 6k) Solving 5 + 7k = -54 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 5 + 7k + -6k = -54 + 6k + -6k Combine like terms: 7k + -6k = 1k 5 + 1k = -54 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + 1k = -54 + 0 5 + 1k = -54 Add '-5' to each side of the equation. 5 + -5 + 1k = -54 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = -54 + -5 1k = -54 + -5 Combine like terms: -54 + -5 = -59 1k = -59 Divide each side by '1'. k = -59 Simplifying k = -59
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