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Simplifying 7k + 2 = -8(-2 + -8k) Reorder the terms: 2 + 7k = -8(-2 + -8k) 2 + 7k = (-2 * -8 + -8k * -8) 2 + 7k = (16 + 64k) Solving 2 + 7k = 16 + 64k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64k' to each side of the equation. 2 + 7k + -64k = 16 + 64k + -64k Combine like terms: 7k + -64k = -57k 2 + -57k = 16 + 64k + -64k Combine like terms: 64k + -64k = 0 2 + -57k = 16 + 0 2 + -57k = 16 Add '-2' to each side of the equation. 2 + -2 + -57k = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -57k = 16 + -2 -57k = 16 + -2 Combine like terms: 16 + -2 = 14 -57k = 14 Divide each side by '-57'. k = -0.2456140351 Simplifying k = -0.2456140351
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