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Simplifying -8k + -12 = 10k + 16 + -11k Reorder the terms: -12 + -8k = 10k + 16 + -11k Reorder the terms: -12 + -8k = 16 + 10k + -11k Combine like terms: 10k + -11k = -1k -12 + -8k = 16 + -1k Solving -12 + -8k = 16 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -12 + -8k + k = 16 + -1k + k Combine like terms: -8k + k = -7k -12 + -7k = 16 + -1k + k Combine like terms: -1k + k = 0 -12 + -7k = 16 + 0 -12 + -7k = 16 Add '12' to each side of the equation. -12 + 12 + -7k = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -7k = 16 + 12 -7k = 16 + 12 Combine like terms: 16 + 12 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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