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Simplifying -7k + -3k + 2 = -8k + -12 + 4 Reorder the terms: 2 + -7k + -3k = -8k + -12 + 4 Combine like terms: -7k + -3k = -10k 2 + -10k = -8k + -12 + 4 Reorder the terms: 2 + -10k = -12 + 4 + -8k Combine like terms: -12 + 4 = -8 2 + -10k = -8 + -8k Solving 2 + -10k = -8 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 2 + -10k + 8k = -8 + -8k + 8k Combine like terms: -10k + 8k = -2k 2 + -2k = -8 + -8k + 8k Combine like terms: -8k + 8k = 0 2 + -2k = -8 + 0 2 + -2k = -8 Add '-2' to each side of the equation. 2 + -2 + -2k = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = -8 + -2 -2k = -8 + -2 Combine like terms: -8 + -2 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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