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Simplifying 8k + -8(k + -8) = 36 + -7k Reorder the terms: 8k + -8(-8 + k) = 36 + -7k 8k + (-8 * -8 + k * -8) = 36 + -7k 8k + (64 + -8k) = 36 + -7k Reorder the terms: 64 + 8k + -8k = 36 + -7k Combine like terms: 8k + -8k = 0 64 + 0 = 36 + -7k 64 = 36 + -7k Solving 64 = 36 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 64 + 7k = 36 + -7k + 7k Combine like terms: -7k + 7k = 0 64 + 7k = 36 + 0 64 + 7k = 36 Add '-64' to each side of the equation. 64 + -64 + 7k = 36 + -64 Combine like terms: 64 + -64 = 0 0 + 7k = 36 + -64 7k = 36 + -64 Combine like terms: 36 + -64 = -28 7k = -28 Divide each side by '7'. k = -4 Simplifying k = -4
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