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Simplifying 3k + -4 + -7k = 8k + 2 Reorder the terms: -4 + 3k + -7k = 8k + 2 Combine like terms: 3k + -7k = -4k -4 + -4k = 8k + 2 Reorder the terms: -4 + -4k = 2 + 8k Solving -4 + -4k = 2 + 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. -4 + -4k + -8k = 2 + 8k + -8k Combine like terms: -4k + -8k = -12k -4 + -12k = 2 + 8k + -8k Combine like terms: 8k + -8k = 0 -4 + -12k = 2 + 0 -4 + -12k = 2 Add '4' to each side of the equation. -4 + 4 + -12k = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -12k = 2 + 4 -12k = 2 + 4 Combine like terms: 2 + 4 = 6 -12k = 6 Divide each side by '-12'. k = -0.5 Simplifying k = -0.5
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