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Simplifying -2(k + -8) + -8k = 4k + -1(7k + -2) Reorder the terms: -2(-8 + k) + -8k = 4k + -1(7k + -2) (-8 * -2 + k * -2) + -8k = 4k + -1(7k + -2) (16 + -2k) + -8k = 4k + -1(7k + -2) Combine like terms: -2k + -8k = -10k 16 + -10k = 4k + -1(7k + -2) Reorder the terms: 16 + -10k = 4k + -1(-2 + 7k) 16 + -10k = 4k + (-2 * -1 + 7k * -1) 16 + -10k = 4k + (2 + -7k) Reorder the terms: 16 + -10k = 2 + 4k + -7k Combine like terms: 4k + -7k = -3k 16 + -10k = 2 + -3k Solving 16 + -10k = 2 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 16 + -10k + 3k = 2 + -3k + 3k Combine like terms: -10k + 3k = -7k 16 + -7k = 2 + -3k + 3k Combine like terms: -3k + 3k = 0 16 + -7k = 2 + 0 16 + -7k = 2 Add '-16' to each side of the equation. 16 + -16 + -7k = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -7k = 2 + -16 -7k = 2 + -16 Combine like terms: 2 + -16 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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